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Linear Equations Slope-Intercept and Standard Form
Slope-Intercept Form Any linear equation can be solved for y and written like this: This form of a linear equation is called ______-_________ form.
Slope-Intercept Form The m represents the _____ of the line. It is often convenient to write the slope as a fraction, since slope is defined as...
Slope-Intercept Form The b represents the __-__________. (Which is where the line crosses the __- _____.) It is important to pay attention to the signs of both m and b!
y = 3x - 5 Can you determine the slope and the y- intercept of this equation? The slope is ___ Which we might choose to write as ___ (to make the rise and run more obvious)
y = 3x - 5 What about the y-intercept? You didnt miss the negative sign did you? We can graph this equation by first plotting the y-intercept, then plotting a second point found via the slope!
y = 3x - 5 Could you sketch the graph? First plot the y- intercept. The rise is __. The run is __.
3x + 2y = 4 Re-write the equation in slope-intercept form. Solve for y. Put the x term first on the right side of the equation. The slope is ___ and the y-int is ___.
y = -3/2x + 2 Now graph the linear equation.
Writing a Linear Equation Suppose you were given a point on a line and a slope. Could you write the equation of the line? How could you find the y-intercept?
m = 2/3 and the line contains (-3,-2) Since we know the slope and at least one value of x and y that makes the equation true, we can simply substitute and solve!
Writing a Linear Equation Now we know both the slope and the y- intercept. Can you write the equation in both slope-intercept and standard form? Write the equation in slope-intercept form.
5-5 Slope-Intercept Form Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview.
Holt McDougal Algebra Slope-Intercept Form Warm Up Find each y-intercept. 1. y = 3x x – 3y = 12 Find each slope x + 2y = x.
WARM UP Evaluate 1.3x + y for x = 4 and y = 3 2.x² + 7 for x = 7 5 Minutes Remain.
7-5 Graphing linear equations Objectives: Graph linear equations by using the x and y intercepts or the slope and y intercept.
2.2 Linear Equations. SLOPE RISE RUN SLOPE Slope Formula Given points (X 1,Y 1 ) and (X 2,Y 2 ) Is the same as ?
Graphing Linear Equations In Slope-Intercept Form.
WARM UP 1. Explain how to graph a linear equation written in slope-intercept form. 2. Explain how to graph a linear equation written in point-slope form.
Graph a linear equation Graph: 2x – 3y = -12 Solve for y so the equation looks like y = mx + b - 3y = -2x – 12 Subtract 2x to both sides. y = x + 4 Divide.
Linear Equations Review. Find the slope and y intercept: y + x = -1.
Warm Up 1. 4x + 2y = x + 2 = 6y Solve each equation for y. y = –2x Find the slope of the line that contains (5, 3) and (–1, 4). 4. Find the.
7-3 Writing equations in Slope- Intercept form Objectives: Write a linear equation in Slope-intercept form given the slope and y intercept.
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Analyzing Data using Line Graphs Slope & Equation of a Line.
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ALGEBRA 1 Lesson 5-2 Warm-Up. ALGEBRA 1 “Slope-Intercept Form” (5-2) What is “slope- intercept form” slope-intercept form: a linear equation (forms a.
Point-Slope Form Linear Equations in Two Variables.
An equation of a line can be written in slope- intercept form y = mx + b where m is the slope and b is the y- intercept. The y-intercept is where.
5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope- intercept form. day 2.
Creating and Graphing Linear Equations in Two Variables ~Adapted from Walch Education.
Graphing Linear Equations. Standard Form Equation where x and y are on the same side of the equal sign. Example:
Slope Intercept Form. Y intercept The y-intercept is the point where a line crosses the y axis. At this point the value of x is 0.
Holt Algebra Slope-Intercept Form 5-6 Slope-Intercept Form Holt Algebra 1 Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Warm Up.
Warm Up Find the slope of the line that passes through each pair of points. 1. (3, 6) and (–1, 4) 2. (1, 2) and (6, 1) 3. (4, 6) and (2, –1) 4. (–3, 0)
Do Now 1)What is the equation of the line passing through the points (0, 5) and (3, 6) ?
Graphing Using Slope - Intercept STEPS : 1. Equation must be in y = mx + b form 2. Plot your y – intercept ( 0, y ) 3. Using your y – intercept as a starting.
Graphing Linear Equations Slope – Intercept Form.
OBJECTIVE: USE THE SLOPE INTERCEPT FORM TO GRAPH A LINE Slope Intercept Form.
4.2 Graphing Linear Equations. Solution of a Linear Equation Is an ordered pair (x, y) that makes the equation true. Example: Determine whether the ordered.
SLOPE Objectives: Find the slope of a line given the coordinates of two points on the line Graph equations using y=mx+b form.
Do Now Write the slope-intercept equation of this line.
Bell Work Solve for “y” 1.) 3x – 2y = -8 2.) 5x – y + 12 = 3x ) 3x – 4y = -7y – 12.
Graphing Linear Equations. What is a linear equation? Any equation that can be written as Ax+By=C where A and B are both not 0. Ax+By=C is called the.
X and Y Intercepts. X and Y Intercepts Essential Questions How can x-intercepts and y-intercepts be determined? How can equations be graphed using intercepts?
Writing linear equations in Slope-Intercept Form It’s easier than you think…
2-3 LINEAR FUNCTIONS AND SLOPE- INTERCEPT FORM. OBJECTIVES To graph linear equations –Linear function- a function whose graph is a line To write linear.
Slope - Intercept Form. Slope - Intercept Form – an equation written in this form y=mx+b m = slope b = y - intercept y – intercept – the point on a graph.
ALGEBRA 1 LESSON 4.03 SLOPE-INTERCEPT FORM. Part A: 1. I chose Group y = negative three over 2 x + 4 The slope of this equation is -3 over 2. The.
Holt McDougal Algebra Slope-Intercept Form 4-6 Slope-Intercept Form Holt Algebra 1 Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation.
Objective - To graph linear equations using the slope and y-intercept.
So far we know that to the important parts of a line graph are the x-intercept, y-intercept and the gradient, or slope.
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Review after Christmas!. Solve the below equations for the variable..5 (6x +8) = 16 1.
SLOPE-INTERCEPT FORM Linear Equations. What is Slope-Intercept Form? Slope-Intercept form is a way a line can be written. It includes the slope and.
Holt McDougal Algebra Point-Slope Form Graph a line and write a linear equation using point-slope form. Write a linear equation given two points.
Holt McDougal Algebra Slope-Intercept Form 5-7 Slope-Intercept Form Holt Algebra 1 Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation.
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