Question

A line passes through the point (-5,4) and has a slope of -4

Answer 1

For a line, we have:

Point:

P = (-5, 4)

Slope:

m = -4

Using the slope-point form of the line equation, we have:

(y - y0) = m*(x - x0) ...(1)

From our problem:

x0 = -5

y0 = 4

m = -4

Replacing these values on (1):

(y - 4) = -4*(x - (-5)) ...(2)

We need to put this in slope-intercept form:

y = m*x + b

Solving (2):

y = -4*x + (-4)*5 + 4

y = -4x - 16