Answer: y = -12x + 63
Explanation:
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. We are given the slope of the line, which is -12, and a point that the line passes through, which is (6,-9).
Using the point-slope form of a linear equation, we have:
y - (-9) = -12(x - 6)
Simplifying this equation, we get:
y + 9 = -12x + 72
Subtracting 9 from both sides, we get:
y = -12x + 63
Therefore, the equation of the line in slope-intercept form is y = -12x + 63.