Find the equation of the line through point (−2,3) and parallel to 𝑦=𝑥+1

Answer 1

Hi Ellie W

Parallel have the same slope

y = x + 1

Is in slope intercept form

y = mx + b

Where m = 1

The slope m, of the parallel line is 1 and we can use the coordinates (-2,3) to solve for b

y = mx + b

3 = -2 + b

Add 2 to both sides of the equation

3 + 2 = b

5 = b

The equation of the parallel line is

y = x + 5

I hope you find this useful if you have any question pleas send me a message