SOLUTION: Find the x- and y-intercepts for the equation. 53) -6x

SOLUTION: Find the x- and y-intercepts for the equation. 53) -6x - 12y = 12

Question 81949: Find the x- and y-intercepts for the equation.
53) -6x - 12y = 12
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.
-6x - 12y = 12
.
Note that any point on the y-axis has zero as its corresponding x value. Therefore, in
the given equation if you set x equal to zero you can solve the remaining equation for the
corresponding value of y. Setting x equal to zero results in the equation becoming:
.
-6(0) - 12y = 12
.
which simplifies to:
.
-12y = 12
.
Dividing both sides by -12 (the multiplier of the y term) results in:
.
y = 12/(-12) = -1
.
So the y-intercept for the given equation occurs at the point (0, -1) which is the same
as -1 on the y-axis.
.
Similarly, any point on the x-axis has zero for its y value. So to find the x intercept,
set the value of y equal to zero in the given equation and solve what's left for x. With y
equal to zero, the given equation becomes:
.
-6x - 12(0) = 12
.
and this simplifies to:
.
-6x = 12
.
Solve for x by dividing both sides by -6, the multiplier of x. When you do the division,
the equation becomes:
.
x = 12/(-6) = -2
.
So the x intercept is at the point (-2, 0) which is the same as at the point -2 on the
x-axis.
.
Hope this explanation clarifies the problem for you.

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