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)?

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.

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)

(6,5)

Step-by-step explanation:

The equation is in point slope form:

'm' is the slope.

(x1, y1) is the point used to create the equation.

The number 6 replaces the x1 spot.

The number 5 replaces the y1 spot.

So a point that lies on the line should be (6,5).