Question

What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)?

A. y - 4 = 3( x - 1) (the answer was A)

B. 1 - y = 3(x - 4)

C. y₁ - 4 = 3(1 - x₁)

D. 1 - y₁ = 3(4 - x₁)

Answer 1

The equation of a line in a point-slope form is

$y-y_1=m(x-x_1),$ where m is a slope of the line and $(x_1,y_1)$ is the point that line is passing through.

If slope m=3, then the equation will be

$y-y_1=3(x-x_1).$

The line is passing through the point (1,4), then the equation of the line is:

$y-4=3(x-1).$

Answer: option A

Answer 2

the answer is A. y-4=3(x-4)