1. Find the x-intercept and the y-intercept of 8x - 2y = -24.

a. x = -7, y = 2
b. x = -4, y = 14
c. x = -3, y = 12
d. x = 7, y = -2
answer: d

2. Find the x- and y- intercept of the line 2x + 3y = -18.
a. x-intercept is 18, y-intercept is 18.
b. x-intercept is -6, y-intercept is 9.
c. x-intercept is 2, y-intercept is 3.
d. x-intercept is -9, y-intercept is -6.
answer: b

1. The y intercept is when x is zero. Exactly how did you figure y=-2 as that point?

2. same comment.

http://www.purplemath.com/modules/intrcept.htm

To find the x-intercept and the y-intercept of a linear equation, you need to understand that the x-intercept is the point where the line crosses the x-axis, while the y-intercept is the point where the line crosses the y-axis.

1. For the equation 8x - 2y = -24, you can start by finding the x-intercept. To do this, set y = 0 in the equation and solve for x:
8x - 2(0) = -24
8x = -24
x = -24/8
x = -3

So, the x-intercept is -3.

Next, to find the y-intercept, set x = 0 in the equation and solve for y:
8(0) - 2y = -24
-2y = -24
y = -24/-2
y = 12

So, the y-intercept is 12.

Therefore, the correct answer is option c: x = -3, y = 12.

2. For the equation 2x + 3y = -18, follow the same steps as above.

To find the x-intercept, set y = 0 in the equation and solve for x:
2x + 3(0) = -18
2x = -18
x = -18/2
x = -9

So, the x-intercept is -9.

Next, to find the y-intercept, set x = 0 in the equation and solve for y:
2(0) + 3y = -18
3y = -18
y = -18/3
y = -6

So, the y-intercept is -6.

Therefore, the correct answer is option d: x-intercept is -9, y-intercept is -6.