SOLUTION: Find the x and y-intercepts, if they exist. y= 8x

Algebra ->  Linear-equations -> SOLUTION: Find the x and y-intercepts, if they exist. y= 8x      Log On


   



Question 110860This question is from textbook
: Find the x and y-intercepts, if they exist. y= 8x This question is from textbook

Found 2 solutions by scott8148, bucky:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
this goes through the origin, so the x and y intercepts are both zero

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
To find the intercept on the y-axis let x = 0. [This is because any point on the y-axis has zero
as its x value.]
.
If you go to the given equation:
.
y = 8x
.
and substitute 0 for x, the equation becomes:
.
y = 8*0 = 0
.
This tells you that when x = 0, then y = 0 and the point is (0, 0). So the y-intercept
for the given equation is the origin.
.
At this point in the problem, you can tell that the x-intercept is also (0, 0) if you
really think about it. However, the routine way to find the x-intercept is to set y equal
to zero in the equation. If you do, the equation becomes:
.
0 = 8*x
.
Solve for x by dividing both sides by 8 to get:
.
0/8 = 0 = x
.
So the point (0, 0) is also the x-axis intercept.
.
Hope this helps you to understand the problem.
.