Question 449509
To find the x- and y-intercepts of -3x-4y=18:

Two Separate problems to solve!!

1st To find the x-intercept:

Let y=0 and solve for x.

-3x-4*0=18
-3x=18
x=18/-3
x=-6  -->  x-intercept is (-6,0)

2nd To find the y-intercept:

Let x=0 and solve for y.

-3*0-4y=18
-4y=18
y=18/-4
y=-9/2
y=-4.5   --> y-intercept is (0, -4.5)

To graph, plot the x- and y-intercepts and draw the line!!

You should also choose an x- or y-value, substitute into the original to find a check point. If your x- and y-intercepts are correct, the point will lie on the line.

Example: If we let x=1, then
-3*1-4y=18
-3-4y=18
-4y=21
y=21/-4
y=-5 1/4
y=-5.25  --> (1, -5.25) should lie on the line drawn using the intercepts :)