Answer:
y = 4x - 15
Step-by-step explanation:
Find slope (m) using of the line that passes through (7, 13) and (4, 1).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 13}{4 - 7} = \frac{-12}{-3} = 4 [/tex]
Find y-intercept (b) by substituting x = 4, y = 1, and m = 4 in y = mx + b.
Thus:
1 = (4)(4) + b
1 = 16 + b
Subtract 16 from each side
-15 = b
b = -15
substitute m = 4, and b = -15 in y = mx + b, to get the equation.
The equation of the line would be:
✅ y = 4x + (-15)
y = 4x - 15
