Question

Find the equation of the straight line passing through the points (–2, 3) and parallel to y=2x-1

Answer 1

`y=2x+7`

Explanation:

All parallel lines have the same slope, so in slope intercept form, our line is going to look like

`y=2x+b`

To find b, we can plug in the x and y values from the given point (-2, 3) and solve:

`3=2(-2)+b\\3=-4+b\\b=7`

So our equation becomes

`y=2x+7`