which equation in standard form has a graph that passes through the point (-4,2) and has a slope of 9/2?

Question

i dont understand the question 

Answer 1

One last step to Al's answer is to multiply the entire equation by -1 so that the x component is positive, so:

 

9x - 2y = -40

Answer 2

 

They probably want the equation of a straight line passing through (-4,2) with slope 9/2.

 

The standard form is  Ax + By = C   

 

Since I like to start with y=mx+b, that's what I'll do  (m = slope, b = y-intercept):

 

    y = (9/2)x + b        9/2 was given as the slope

 

It was also given that the line passes through (-4,2), this info let's us find 'b':

    2 = (9/2)(-4) + b 

    2 = -18 + b

    2+18 = b 

    20 = b

 

So the slope intercept form is   y = (9/2)x + 20

 

This can be re-arranged into standard form:

 

                                  y - (9/2)x = 20

                                -9x + 2y = 40      (multiplied both sides by 2)