Exercise 41 Page 190

Start by using the Slope Formula to find the slope.

y=- 3/2+1

Practice makes perfect

An equation in slope-intercept form follows a specific format. y= mx+ b For an equation in this form, m is the slope and b is the y-intercept. We can calculate the slope by substituting only two points of the given table into the Slope Formula.

m = y_2-y_1/x_2-x_1

SubstitutePoints

Substitute ( 0,1) & ( - 2,4)

m=4- 1/- 2- 0

SubTerms

Subtract terms

m=3/- 2

MoveNegDenomToFrac

Put minus sign in front of fraction

m=- 3/2

A slope of - 32 means that for every 2 horizontal steps in the negative direction, we take 3 vertical steps in the positive direction. Now that we know the slope, we can write a partial version of the equation. y= - 3/2 x+ b To complete the equation, we also need to substitute the y-intercept, b. We can see that one of our given points, (0, 1), lies on the y-axis. Since the line crosses the y-axis at this point, we know the y-intercept and can complete the equation. y= - 3/2x+ 1

Subchapter links

1 Graphing Linear Equations p.187

2 Slope of a Line p.188

3 Graphing Proportional Relationships p.188-189

4 Graphing Linear Equations in Slope-Intercept Form p.189

5 Graphing Linear Equations in Standard Form p.190

6 Writing Equations in Slope-Intercept Form p.190-191

7 Writing Equations in Point-Slope Form p.191

Exercise 41 Page 190

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