Answer:
[tex]y = - \frac{2}{3} x + 5[/tex]
Step-by-step explanation:
[tex]y = mx + b[/tex]
finding the slope m of the line using the above points
[tex] m = \frac{y2 - y1}{x2 - x1} = \\ \frac{ - 1 - 7}{9 - - 3} = \frac{ - 8}{9 + 3} = - \frac{8}{12} = - \frac{2}{3} [/tex]
substitute the slope and one of the points into the y-intercept form to solve for b
[tex]y = mx + b \\ 7 = - \frac{2}{3} ( - 3) + b \\ 7 = \frac{6}{3} + b \\ 7 - 2 = b \\ b = 5[/tex]
therefore the answer to the question is
[tex]y = - \frac{2}{3} x + 5[/tex]
