determine the x and y intercept of f​

Given :-

To Find :-

Solution :

Let ,

→ y = f(x)

So that ,

→ y = 4x - 10/ x -2

→ 0 = 4x - 10/x - 2

→ 4x - 10 = 0

→ 4x = 10

→ x = 10/4

→ x = 5/2

→ x = 2.5

→ y = 4*0 - 10 / 0 -2

→ y = -10/-2

→ y = 5

To graph a straight line:

find the y-intercept by taking x = 0

find the x-intercepts by taking y = 0

Draw a straight line joining these two points

change in y depends on the slope.

As x increases:

y increases if the slope is positive

y decreases if the slope is negative

As x decreases:

y increases if the slope is negative

y decreases if the slope is positive