Which equation represents a line that has a slope of −12 and passes through the point (4,0) ?

Answer 1

When writing linear equations you always use the format y =mx + b, where x and y represent any coordinate (x,y) on the line, m is the slope, and b is the y intercept.

Since you are given the slope you plug it in along with x and y from the coordinate you are given:

0 = -12(4) + b

(y = m(x) + b)

Then you solve for b: 0 = -48 + b

+48 +48

48 = b

When you write your final equation, you only plug in the slope and y intercept to get an equation of:

y = -12x + 48