Exercise 19 Page 177

We can find the line that passes through the given points by using the slope-intercept form of an equation. y= mx+ bFor 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 ( 0,4) & ( 0,- 3)

m=- 3- 4/0- 0

SubTerms

Subtract terms

m=- 7/0 *

A slope of - 70 means that we would have to divide by zero. However, in math, division by zero is not defined. This means that the line has an undefined slope m and cannot be written in slope-intercept form. Now, notice that the x-coordinate of both given points is 0. Therefore, the line that passes through these points is a vertical line. x= 0