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Chapter 6: Section 2 Slope-Intercept Form
Linear Equation Any equation whose graph is a line – Since a function rule can form a line, a function can be linear – f(x) = 2x + 5
Y-Intercept Represented by the variable b The y-coordinate of the point where the line crosses the y-axis Graph y = 2x + 5 to see where is crosses the y- axis. What is its slope?
Slope-Intercept Form y = mx + b m = slope b = y-intercept
Find the slope and y-intercept 1. y = 3x – 5 2. y = x y = (2/3)x – 3 4. y = -2x
Write an equation of the line from the given slope and y-intercept. 1. m = 2/9b = 3 2. m = 0b = 1 3. m = -1/4b = m = 3b = 0
Write the slope-intercept form from the graph of the equation
Use the slope and the y-intercept to graph the equation 1. y = ½ x y = 2x y = -3/2 x
Assignment Page 294 – Numbers 3-39 multiples of 3 – Number 40
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2.4 Writing the Equation of a Line. Review of Slope-Intercept Form The slope-intercept form of a linear equation is y = mx + b. m represents the slope.
X and Y intercepts. X-intercept: The point where a line crosses the x-axis. The coordinates are ( x, 0) where x is any number on the x-axis Y-intercept:
3.7 Equations of Lines in the Coordinate Plane The slope m of a line is the ratio `of the vertical change (rise) to the horizontal change (run) between.
Y x Objective - To graph linear equations using the slope and y-intercept. x Complete the table and graph y-intercept b = -1 Slope-Intercept.
Warm up 1.Graph the equation of the line using slope & y-intercept 4x – 2y = 10.
Y – Intercept of a Line The y – intercept of a line is the point where the line intersects or “cuts through” the y – axis.
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) Course Using Slopes and Intercepts.
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CST W ARM -U P : 10/22/ SLOPE-INTERCEPT FORM OF A LINE.
In slope y-intercept form (y = mx +b) Quick Review! Identifying slope and y-intercept from a graph Graphing a line given m and b Interpreting linear relations.
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.
UNIT 1B LESSON 2 REVIEW OF LINEAR FUNCTIONS. Equations of Lines The horizontal line through the point (2, 3) has equation The vertical line through the.
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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)
Bellringer. Write and equation for each graph Bellringer.
Lesson 10 Equation of a line y = m x + b. (-3,2) (4,-3) Graph point (-3,2) Graph point 4,-3) Draw line Draw vertical side of triangle Draw horizontal.
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Do Now. 2.3 Linear Functions and Slope-Intercept Form Learning Target: I can Graph linear equations I can write equations of lines.
2-3C Finding an Equation of a Line 2-3C Finding an Equation of a Line Objectives: To write an equation of a line using the slope-intercept equation.
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Graphing Using Tables (continued). Graph 2x + y = 4 using a table.
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