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Copy in Agenda and add to TOC: –#5 Finding Slope and Y-intercept Given Slope Intercept Form
Warm Up Find the slope of the line that passes through each pair of points. 1.(-2,-2) (-4,1) 2.(0,0) (4,-2) 3.(3,-6) (2,-6) 4.(4,2) (4,3)
Types of Slope Positive Negative Zero Undefined or No Slope
Slope-intercept form: y = mx + b. slope y-intercept
Find the slope and y-intercept of the following equations. y = 3x + ½ slope= 3 y-intercept = ½
Find the slope and y-intercept of the following equations. y = -2x + 5 slope= -2 y-intercept = 5
Find the slope and y-intercept of the following equations. y = 1/2x +9 slope= 1/2 y-intercept = 9
Find the slope and y-intercept of the following equations. y = 3x -4 slope= 3 y-intercept = -4
Find the slope and y-intercept of the following equations. y = -x + 2 slope= -1 y-intercept = 2
y = 4x
y = 3
x = 4
y = x
Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.
Parallel & Perpendicular Slopes II
Writing equations in slope intercept form Y = mX + b Slope or Rate of change Y intercept.
Warm up: 1.Write a definition: m = Compute the slope of a line through: 2. (2, -4) and (3, 5) m = 3.(0, 5) and (2, 9) m = 4.(-8, 1) and (4, 1) m.
Equations of Lines Part 2 Students will: Write slope intercept form given a point and a slope 1.
Linear Equations Review. Find the slope and y intercept: y + x = -1.
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.
Writing equations given 2 points on the line. Write the equation of the line that goes through the points (1, 6) and (3, -4) m = y₂ - y₁ x₂ - x₁ -4 -
2.4 Write Equations of Lines Date: 9/4 Objective: Use point slope formula to write and equation of a line.
Objective - To graph linear equations using the slope and y-intercept.
Writing Linear Equations Using Slope Intercept Form
2.2 “Slope & Rate of Change” Slope of a Line:. Examples 1.A skateboard ramp has a rise of 15 inches and a run of 54 inches. What is the slope? 2.What.
Chapter 3 Section 3.4 The Slope Intercept Form of a Linear Equation.
Writing Equations of Lines. Find the equation of a line that passes through (2, -1) and (-4, 5).
Linear Functions and Slope. 1. Find the slope of the line passing through each pair of points or state that the slope is undefined: (-4, 2) and (5, 7)
Write Equations of Parallel and Perpendicular Lines Goals: Writing Equations of Parallel Lines Writing Equations of Perpendicular Lines.
Y -intercept ANSWER slope ANSWER Prerequisite Skills VOCABULARY CHECK Copy and complete the statement. ? In the equation y = mx + b, the value of m is.
Do Now Find the slope of the line passing through the given points. 1)( 3, – 2) and (4, 5) 2)(2, – 7) and (– 1, 4)
3.7 Equations of Lines in the Coordinate Plane
5-7: Scatter Plots & Lines of Best Fit. What is a scatter plot? A graph in which two sets of data are plotted as ordered pairs When looking at the.
Warm up 1.Graph the equation of the line using slope & y-intercept 4x – 2y = 10.
-when given slope and y intercept -when given slope and a point -when given two ordered pairs - Equation of a line - Slope - Y intercept y = mx + b.
Linear Functions Slope and y = mx + b. Remember Slope… Slope is represented by m m = 0 Horizontal Line Vertical Line Slope up to the right Slope up to.
Group Round 1 Find the equation of the line that has... A slope 3 and passes through (-2, 7) B slope 2 and passes through (5, -3) C slope 4 and passes.
The table and graph suggest another method of graphing a linear equation. This method is based on two numbers. The SLOPE This is the coefficient of x.
Example 2 Positive and Negative Slope Find the slope of the line. a. = run rise m = x1x1 x2x2 y1y1 y2y2 – – – – = 4 5 =
5.3 Slope-intercept form Identify slope and y-intercept of the graph & graph an equation in slope- intercept form. day 2.
4.3 – Writing Equations in Point Slope Form. Ex. 1 Write the point-slope form of an equation for a line that passes through (-1,5) with slope -3.
WRITE EQUATIONS OF PARALLEL AND PERPENDICULAR LINES November 20, 2008 Pages
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.
1.2 Linear Equations in Two Variables Writing linear equations.
Lesson 5.6 Point-Slope Form of the Equation of a Line.
Is it a linear function? no. Is the slope positive, negative, zero or undefined? positive.
Point Slope Form. Write the equation of the line with slope 3 and passing through the point (1, 5). y – y 1 = m(x – x 1 )
Warm up Write the equation of the line passing through the given point with the given slope. Then graph the line. 1. (-4, -3), m = 2. (8, 2), m =
Writing Linear Equation using slope-intercept form.
Re-Writing Equations Part of end of class.
EXAMPLE 2 Write an equation given two points Write an equation of the line that passes through (–2, 5) and (2, –1). SOLUTION Calculate the slope. 3 m =
Slope of a Line Chapter 7.3. Slope of a Line m = y 2 – y 1 x 2 – x 1 m = rise run m = change in y change in x Given two points (x 1, y 1 ) and (x 2, y.
Do Now Write the slope-intercept equation of this line.
1.6 Warm Up 1.Find the slope between the points: 1.(9,3) & (-1, -6) _______________ 2.(4, -3) & (0, -3) _______________ 3.(2, 1) & (-5, 8) ________________.
Writing an Equation of a Line
The slope of a line refers to the steepness of a line or how far it leans over. We look at a line from left to right.
Slope is… Steepness of a line, m, rise, change in y, common difference run change in x Positive Slope:Negative Slope: Zero Slope:Undefined Slope:
1 Math Supplement The Proportionality A “is proportional to” B.
y = 2x - 3 What’s this? y = 2x - 3 It’s a Linear Equation!
Find slope and y-intercept given an equation in standard form. 5.5 day 2 3x - 6y = 12.
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