Write an equation of the line that passes through (4,−1) and is parallel to the line y=3x+7. (hint: not y=3x-13)

To find the equation of the line, we are going to use the point-slope form, which is listed below:

You may notice that we have a point, but no slope is given to us. However, the problem states that the line is parallel to the equation , which means that it has the same slope as this line, which is 3. (Remember that this line is set up in form, where is the slope)

Thus, we can now insert our values into the point-slope formula to find the equation of our line.

The problem made it clear that it didn't want the form , so let's put it in standard form:

The equation of our line is .