What is the y-intercept of the function f(x) = 4 - 5x?

Solution:

The equation y = -5x + 4 is presented in the  f(x) = y =  mx + c form known as the slope-intercept form, where m = slope of the line and c is constant which is x intercept.

The value of c is obtained by putting y = 0 and is called x-intercept the value of which is 4.

The y-intercept of the given equation is obtained by putting x = 0. And as shown in the diagram above:

y-intercept = 4

Let us take another equation say y = 3x - 5. The y-intercept for this equation is obtained by putting x =0. 

Therefore y = -5

What is the y-intercept of the function f(x) = 4 - 5x?

Summary:

The y-intercept of the function f(x) = 4 - 5x is 4.