Exercise 2 Page 175

The slope of a line can be found using two points that fall on the line and a set formula. m=y_2-y_1/x_2-x_1 In this formula, m is the slope and (x_1,y_1) and (x_2,y_2) are two arbitrary points on the line. We have been given a slope of 4 and a point on the line, ( 3, -2). Let's substitute this information into the Slope Formula. 4=y_2-( -2)/x_2- 3 We can simplify this equation to point-slope form, y-y_1=m(x-x_1). First, we remove the subscripts because there is only one of each variable.

Next we can simplify and use inverse operations to rearrange the equation to be in the correct form.

As we have shown, the Slope Formula and the point-slope form are very closely related. We can easily find one when given the other.