Question

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (-3,1)?

Answer 1

Because you didn't give the line, it is impossible to write it completely. However, the line would be y - 1 = m(x + 3), in which m is the slope in the line.

Explanation:

We know this firstly because parallel lines have the same slope. So whatever the slope is to the given line, it must match the point-slope form.

So, we'll call this mystery slope m and then use the point in plug in the point into point-slope form.

y - y1 = m(x - x1)

y - 1 = m(x - -3)

y - 1 = m(x + 3)