Question

Write the equation of the line with a slope of -4 that passes through the point (5.-12).a) y=-4x -12b) y = 4x-32c) y = 5x-12d)y=-4x + 8O Option AOption BOption COption D

Answer 1

It is required to find the equation of the line with a slope = -4

And passes through (5 , -12)

The general form of the line is y = mx + b

Where m is the slope and b is a constant represents y-intercept

So, given the slope = -4

m = -4

y = -4x + b

To find b , substitute with the point ( 5 ,-12)

when x = 5 , y = -12

so,

-12 = -4 * 5 + b

solve to find b:

-12 = -20 + b

b = -12 + 20 = 8

So, y = -4x + 8

the answer is option d. y = -4x + 8