Intermediate Algebra problem need help

[mathconfused]

I have a bunch of problems to do and I'm having a hard time figuring out how to start working on this problem. If you can help please provide how to do this problem and I can figure out how to get the answer. Thanks in advance


Suppose you have the line px+qy=-2. If this line has a slope of 4 and passes through the point (-3,3) what are the values for p and q?

 

[Mrspi]

I have a bunch of problems to do and I'm having a hard time figuring out how to start working on this problem. If you can help please provide how to do this problem and I can figure out how to get the answer. Thanks in advance


Suppose you have the line px+qy=-2. If this line has a slope of 4 and passes through the point (-3,3) what are the values for p and q?

In general, the slope of the line whose equation is Ax + By = C is (-A/B)....you can verify this by solving for y.

For your line,

px + qy = -2

you are TOLD that the slope is 4. So,
-p/q = 4
or, if you multiply both sides by q,
-p = 4q

You are also told that the point (-3, 3) is on the line, so the equation
px + qy = -2
must be true when you substitute -3 for x and 3 for y:

-3p + 3q = -2

You've got two equations in two variables:

-p = 4q
-3p + 3q = -2

Solve this system by your favorite method.

 

[mathconfused]

Thank you so much. I got my answer. I really appreciate it!