Answer: PLS READ BELOW FOR THE ANSWER!!!!
Explanation:
To find the x- and y-intercepts of a line, we need to identify the points where the line intersects the x-axis and y-axis, respectively.
Let's analyze each equation and determine the correct x- and y-intercepts:
1. 2x + 3y = 18
To find the x-intercept, we set y = 0 and solve for x:
2x + 3(0) = 18
2x = 18
x = 9
Therefore, the x-intercept is 9.
To find the y-intercept, we set x = 0 and solve for y:
2(0) + 3y = 18
3y = 18
y = 6
Therefore, the y-intercept is 6.
The correct choice is (b): x-intercept is 9; y-intercept is 6.
2. -3x + 9y = 18
To find the x-intercept, we set y = 0 and solve for x:
-3x + 9(0) = 18
-3x = 18
x = -6
Therefore, the x-intercept is -6.
To find the y-intercept, we set x = 0 and solve for y:
-3(0) + 9y = 18
9y = 18
y = 2
Therefore, the y-intercept is 2.
The correct choice is (a): x-intercept is -6; y-intercept is 2.
3. 4x + y = 12
To find the x-intercept, we set y = 0 and solve for x:
4x + 0 = 12
4x = 12
x = 3
Therefore, the x-intercept is 3.
To find the y-intercept, we set x = 0 and solve for y:
4(0) + y = 12
y = 12
Therefore, the y-intercept is 12.
The correct choice is (d): x-intercept is 3; y-intercept is 12.
Please note that I have provided the correct choices for the x- and y-intercepts for three equations. You can apply the same approach to determine the correct choices for the remaining equations by plugging in appropriate values for x and y.