SOLUTION: Hello, I need to find y and x intercept of y = 10. I put y = (0, 10) On graph, I drew a straight line across through the 10. Did I do this right? Please he

Algebra ->  Linear-equations -> SOLUTION: Hello, I need to find y and x intercept of y = 10. I put y = (0, 10) On graph, I drew a straight line across through the 10. Did I do this right? Please he      Log On


   



Question 515343: Hello,
I need to find y and x intercept of y = 10.
I put y = (0, 10)

On graph, I drew a straight line across through the 10.

Did I do this right? Please help!

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, you did it correctly.
Given y = 10, the value of x makes no difference to function's value.
x=-infinity, y=10
x=0, y=10, so the y-intercept is (0,10).
x=+infinity, y=10
.
There is no change in 'y', while 'x' can vary.
That means the slope = 0 because y-y1 = 0 regardless of the value of x-x1.
.
On a graph you would have:
.
+graph%28500%2C500%2C-20%2C20%2C-20%2C20%2C10%29+
.
As you may see, the line is parallel to the x-axis, so there is no x-intercept from -infinity to +infinity.
.
Done.