Question

Write the equation of the line that passes through (–1, 5) and has a slope of 3 in point-slope form.

Answer 1

For this case we have that the general equation of the line in point-slope form is given by:

$y-yo = m (x-xo)$

Where,

m: slope of the line

(xo, yo): point where the line passes

For this case we have:

$m = 3\\(xo, yo) = (-1, 5)$

Substituting values:

$y-5 = 3 (x - (- 1))$

Rewriting we have:

$y-5 = 3 (x + 1)$

Answer:

The equation of the line in point-slope form is:

$y-5 = 3 (x + 1)$

option 3

Answer 2

The equation for point-slope form is:

(y - y sub 1) = m * (x - x sub 1)

So, we enter the point we have and the slope we have:

(y - 5) = 3 * (x + 1)

The answer is the third choice.