Answer:
[tex] y = \frac{3}{4}x - \frac{1}{4} [/tex]
Step-by-step explanation:
First, find the slope using the points (3, 2) and (-1, -1):
Slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - 2}{-1 - 3} = \frac{-3}{-4} = \frac{3}{4} [/tex]
Find the y-intercept, b, by substituting x = -1, y = -1 and m = ¾ in y = mx + b.
-1 = ¾(-1) + b
-1 = -¾ + b
Add ¾ to both sides
-1 + ¾ = b
(-4 + 3)/4 = b
-¼ = b
Substitute m = ¾ and b = -¼ in y = mx + b.
The equation would be:
✅[tex] y = \frac{3}{4}x - \frac{1}{4} [/tex]
