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

`y = -3x + 6`

Explanation:

`m = -3\\(4,-6)\\x = 4\\y = -6\\m = (y-y_1)/(x-x_1) \\-3 = (y -(-6))/(x-4) \\-3 =(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`