Question

Which is the equation of a line with a slope

of 1 and a y-intercept of 2?
(1) y + x = 2 (3) y - x + 2 = 0
2) y - x = 2 (4) y + x - 2 = 0
Please help

Answer 1

2) y-x=2

Add x on both sides:

y =x+2

The slope is 1 and the y-intercept is 2.

Explanation:

So a linear equation in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

Let's put all of these in that form:

1) y+x=2

Subtract x on both sides:

y =-x+2

The slope is -1 and the y-intercept is 2.

2) y-x=2

Add x on both sides:

y =x+2

The slope is 1 and the y-intercept is 2.

3) y-x+2=0

Add x on both sides:

y +2=x

Subtract 2 on both sides:

y =x-2

The slope is 1 and the y-intercept is -2.

4) y+x-2=0

Add 2 on both sides:

y +x =2

Subtract x on both sides:

y =-x+2

The slope is -1 and and the y-intercept is 2.