Question

I need help with these two problems.

Write in slope intercept form.
Through (2,2) and parallel to y=x+4.

Through (3,4) and perpend to y=-2x-4

Answer 1

the equation is -
`y=x`

Step-by-step explanation:

Given -

`y=x+4`

We have to find a line passing through the point
`(2,2)` nd parallel to the given line.

Find the slope of the given line.

It is the coefficeint of
`x`

m₁ = 1

The two lines are parallel. Hence

m₂=m₁=1 Where m₂is the slope of the second line.

You have slope and the points
`(2,2)`

Find the Y intercept

`y=mx+c\\2=(1)(2)+C\\2=2+C\\C=2-2=0`

Y-Intercept
`C=0` and slope m₂=1

Fix the equation

`y=x`