Answer: x-intercept :12 & y-intercept ;-8
Step-by-step explanation:To find the x-intercept ,substitute in 0 for y and solve for x .
8x-12y=96
8x-12(0)=96
8x=96 (divide both # by 8)
x=12
To find the y-intercept ,substitute in 0 for x and solve for y .
8(0)-12y=96
-12y=96(Divide by -12 both )
y=-8
No. The sign of a function is not related with the fact that it is growing of decreasing.
If the function in the decreasing in the interval (a,b) it means that f(b) < f(a), but yet both f(b) and f(a) may be positive.
For example imagin the function y = - x. It is a straight line and it is decreasing for any interval that you take; this is (-∞, ∞).
If you take the interval (- ∞, 0) the function is decreasing but the values are positive. If you take the interval (0, ∞) the function is decreasing and the values are negative.
To solve this question, cross multiply and get 11y = 18
You can then divide both sides by 11 and get that y = 11/8
Hope this helps :)