Question

Write the equation of the line in fully simplified slope-intercept form

Answer 1

y=-x+4

Explanation:

First use slope formula using 2 points.

(0,3) and (1,2)

`(y2-y1)/(x2-x1)`

`(2-3)/(1-0)=(-1)/(1) =-1`

Slope is -1.

Now, use point-slope formula.

y-y1=m(x-x1)

Plug in the information that we have.

y-3=-1(x-0)

Use distributive property.

y-3=-x+1

Add 3 to both sides.

y=-x+4

It is now in slope-intercept form.

Hope this helps!

If not, I am sorry.