Find the equation for the line that passes through the point (−5,0)

, and that is parallel to the line with the equation
y=−
3
4

x−
21
4

y=−34x−214
.

  y = -3/4x -15/4

Step-by-step explanation:

We assume you mean the given line to be ...

  y = -3/4x -21/4

The slope of this line is -3/4. The parallel line will have the same slope.

__

In point-slope form the equation of the line you seek is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y = -3/4(x -(-5)) . . . . .substitute m=-3/4 and (h, k) = (-5, 0)

  y = -3/4x -15/4

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.