Question

Which of the following is a correct equation for the line passing through the point (-1,4) and having slope m=-3

a. 3x+y=1
b. y=-3x+1
c. y-4=-3(x+1)
d. y=-1/4x-3

Answer 1

y = -3x + 1

Explanation:

Starting with the point (-1, 4) and the slope m = -3, write out the point-slope equation of a straight line: y - k = m(x - h) becomes y - 4 = -3(x + 1), or:

y = -3x - 3 + 4

y = -3x + 1 This is the same as answer choice (b).