Question

Can someone help me plz​

Answer 1

Answer:

B. & E.

Step-by-step explanation:

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

$y=mx+b$

$3x-4y=7\\-4y=-3x+7\\y=\frac{3}{4} x-\frac{7}{4}$

Your slope is $\frac{3}{4}$.

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

$y-y1=m(x-x1)\\y-(-2)=\frac{3}{4} (x-(-4))\\y+2=\frac{3}{4} (x+4)\\y+2=\frac{3}{4} x+3\\y=\frac{3}{4} x+1$

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:

$y=\frac{3}{4} x+1$

B is also a correct answer.

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

$3x-4y=-4\\-4y=-3x-4\\y=\frac{3}{4} x+1$

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

Answer 2

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