Answer:
y = [tex]-3\frac{1}{3}x[/tex] + [tex]7\frac{1}{9}[/tex]
Step-by-step explanation:
The line passes through points (6,-4) and (3,6)
The slope (m) of the line = change in y ÷ change in x
m = [tex]\frac{6 - - 4}{3 - 6}[/tex] = [tex]-3\frac{1}{3}x[/tex]
Taking another point (x,y) on the line;
[tex]\frac{y - 6}{x - 3}[/tex] = [tex]-3\frac{1}{3}x[/tex]
Cross-multiplying gives;
y = [tex]-3\frac{1}{3}x[/tex] + [tex]7\frac{1}{9}[/tex]
