Question

find the slope-intercept form of an equation for the line that passes through (-1,2) and is parallel to y=2x-3

Answer 1

y = 2x+4

Explanation:

If a line is parallel, they have the same slope. So we know the slope of this line will be 2.

So we know y = 2x+m. Since the line passes through (-1,2), we just need to plug in -1 as x and y as 2 to solve for m.

Answer 2

y = 2x+4

Explanation:

The slope of the line y = 2x-3 is 2

(y=mx+b where m is the slope)

We want a line that is parallel. Parallel lines have the same slope. So the slope of the new line is 2.

We have the slope =2 and a point (-1,2). We can use point slope form to make an equation

y-y1 = m(x-x1)

y-2 = 2(x--1)

y-2 = 2(x+1)

Distribute the 2

y-2 =2x+2

Add 2 to each side

y-2+2 = 2x+2+2

y = 2x+4

This is in slope intercept form