Q:

Can Someone Please Help Me With This Question. I'll post a picture of the question ​

Accepted Solution

A:
Answer:[tex]y-7=3(x-9)[/tex]Step-by-step explanation:The form of equation of line given in the problem is the point-slope form of a line. That is given by:[tex]y-y_1=m(x-x_1)[/tex]We need [tex]y_1[/tex] and m (denoted by boxes)[tex]y_1[/tex] is the y coordinate of the first set of points.The first coordinate pair is (9,7), so [tex]y_1[/tex] Β would be 7[tex]y_1=7[/tex]Now, the slope (m).It has formula[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]So, x_1 = 9y_1 = 7x_2 = 4y_2 = -8Substituting, we get the slope to be:[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-8-7}{4-9}\\m=\frac{-15}{-5}\\m=3[/tex]Hence, the equation of the line in point-slope is:[tex]y-7=3(x-9)[/tex]