Answer:
Step-by-step explanation:
Slope m = -6
Point (-9, -3)
y1 = -3 and x1 = -9
The equation is y - y1 = m(x - x1)
y - (-3) = -6[x - (-9)]
y + 3 = -6(x + 9)
y + 3 = -6x - 54
y = -6x - 54 - 3
y = -6x - 57
Slope-intercept form: y = mx + b
[m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y) or the point where the line crosses through the y-axis]
Since you know:
m = -6 Substitute/plug it into the equation
y = mx + b
y = -6x + b To find b, plug in the point (-9, -3) into the equation
-3 = -6(-9) + b [two negative signs cancel each other out and become positive]
-3 = 54 + b Subtract 54 on both sides
-57 = b
y = -6x - 57
