Question

Graph the equation. Be sure to simplify the equation into standard form Ax+By=C before graphing it.
3x+4y-3=-15

Answer 1

This one I am unsure of how to do..

Answer 2

First add 3 to both sides

3x+4y-3=-15

3x+4y-3+3=-15+3

3x+4y = -12

Now the equation is in Ax+By = C form

Answer 3

One way to graph this is to find the x and y intercepts

To find the x-intercept, plug in y = 0 and solve for x

3x+4y = -12

3x+4(0) = -12

3x+0 = -12

3x = -12

x = -12/3

x = -4

So the x-intercept is the point (-4,0)

Answer 4

The y-intercept is found the same way, but plugging in x = 0 and solving for y this time

3x+4y = -12

3(0)+4y = -12

0+4y = -12

4y = -12

y = -12/4

y = -3

telling us that the point (0,-3) is also on this line and this point is the y-intercept

Answer 5

Ok... Would the second one be (0,-3)?

Answer 6

now plot the two points (-4,0) and (0,-3) and draw a straight line through them

Answer 7

that is correct

Answer 8

That looks good to me

Answer 9

Yay!! Thank you yet again haha.

Answer 10

sure thing, glad to be of help