Question

Can someone help me plz​

Answer 1

3x-4y=-4 and y+2=3/4(x+4)
hope it helps!

Answer 2

B. & E.

Explanation:

First, to find your slope, put your line into slope-intercept form.

`y=mx+b\\`

`3x-4y=7\\-4y=-3x+7\\y=(3)/(4) x-(7)/(4)`

Your slope is
`(3)/(4)`.

Now, you can find the y-intercept of your parallel line by plugging your given point and your slope into point-slope form.

`y-y1=m(x-x1)\\y-(-2)=(3)/(4) (x-(-4))\\y+2=(3)/(4) (x+4)\\y+2=(3)/(4) x+3\\y=(3)/(4) x+1`

Your y-intercept is 1.

If you notice, answer choice E is equivalent to one of our steps in converting it to point-slope form. Therefore, E is one of your answers.

The equation of your parallel line is:

`y=(3)/(4) x+1`

B is also a correct answer.

If you put B into slope-intercept form, you get the following:

`3x-4y=-4\\-4y=-3x-4\\y=(3)/(4) x+1`

This, of course, is equivalent to the parallel line which we already found, so we know it is parallel.