You can
put this solution on YOUR website!
x-intercept
To find the x-intercept, plug in

and solve for x

Start with the given equation.

Plug in

.

Multiply

and 0 to get 0.

Simplify.

Divide both sides by

to isolate

.

Reduce.
So the x-intercept is
)
.
------------------------------------------
y-intercept
To find the y-intercept, plug in

and solve for y

Start with the given equation.

Plug in

.

Multiply

and 0 to get 0.

Simplify.

Divide both sides by

to isolate

.

Reduce.
So the y-intercept is
)
.
Notice that if we graph the equation

, we can see that the graph has the x-intercept
)
and the y-intercept

Graph of
You can
put this solution on YOUR website!Name the x and y intercept for 4x-6y = -24
When you want the "y" intercept, solve for "y" by making the "x" = 0
When you want the "x" intercept, solve for "x" by making the "y" = 0.
Let's solve for the y intercept first:
4x - 6y = -24 (original equation)
4(0) - 6y = -24 (solve for "y" by making "x" =0)
0 - 6y = -24 (divide both sides by -6)
y = 4
Therefore, your "y" intercept is: (0, 4)
Now for the x intercept:
4x - 6y = -24 (original equation)
4x - 6(0) = -24 (solve for "x" by making "y" = 0)
4x = -24 (divide both sides by 4)
x = -6
Therefore, your "x" intercept is: (-6, 0)
Hope this helped you. :-)