Question

Find the equation of the line passing through the point (-1,2) and parallel to the line y=2x-3.  Write your answer in slope-intercept form.  Do not use any space between the letter (lower case), symbol and number, say y=x+1

Answer 1

All lines parallel to y=2x-3 have the same gradient, which is the x coefficient, 2.

So we know we need an equation where 2x is the x term. Now we need the y intercept, a.

y=2x+a. To find a plug in x=-1 and y=2, so 2=-2+a, making a=4 so the equation is y=2x+4.