Exercise 43 Page 190

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. Let's use the given points to calculate m. We will start by substituting the points into the Slope Formula.

m = y_2-y_1/x_2-x_1

SubstitutePoints

Substitute ( 0,8) & ( 6,8)

m=8- 8/6- 0

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Simplify right-hand side

SubTerms

Subtract terms

m=0/6

0/a=0

m= 0

A slope of 0 means that for every 1 horizontal step in the positive direction, we take 0 vertical steps. Now that we know the slope, we can write a partial version of the equation. y= 0 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, 8), 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= 0x+ 8 → y= 8