Question

2. Write an equation of a line in slope-intercept form
that passes through a point (4,-6) and has a slope of -3.

Answer 1

Answer:

$y = -3x + 6$

Step-by-step explanation:

$m = -3\\(4,-6)\\x = 4\\y = -6\\m = \frac{y-y_1}{x-x_1} \\-3 = \frac{y -(-6)}{x-4} \\-3 =\frac{y+6}{x-4} \\Cross-Multiply\\-3(x-4) = y+6\\-3x+12=y+6\\-3x+12-6=y\\-3x+6 = y\\y =-3x+6$