Answer:
[tex]y = -\frac{2}{3}x + 5[/tex]
Step-by-step explanation:
First you have to find the slope
[tex]m = \frac{7 - 3}{-3 - 3} = \frac{4}{-6} = -\frac{2}{3}[/tex]
Now use the point-slope form by using one of the points and the slope. Let's use the point (3, 3)
[tex]y - 3 = -\frac{2}{3} (x - 3)[/tex]
Multiply thru the equation by 3 to remove the fraction
3y - 9 = -2(x - 3) =
3y - 9 = -2x +6
3y = -2x + 15
[tex]y = -\frac{2}{3}x + 5[/tex] is the equation in slope-intercept form
