Question

Please answer :D Rearrange the linear equation so that it is in slope-intercept form. Identify the slope (m) and the y-intercept (b). You must show your work for full credit.

x - 4 = 2(y - 3)

Answer 1

`y=(1)/(2)x+1`

The slope is 1/2.

The y-intercept is 1.

Explanation:

We have:

`x-2=2(y-3)`

Let’s divide both sides by 2. This gives us:

`(x)/(2)-(4)/(2)=y-3`

Simplify:

`(1)/(2)x-2=y-3`

Add 3 to both sides:

`(1)/(2)x+1=y`

Flip:

`y=(1)/(2)x+1`

This is in the slope-intercept form:

`y=mx+b\\`

Where m is the slope and b is the y-intercept.

Hence, our slope m is 1/2 and our y-intercept b is 1.