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

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) (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:
.

.
As you may see, the line is parallel to the x-axis, so there is no x-intercept from -infinity to +infinity.
.
Done.
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