Answer:
The y-intercept is 4. The third option is correct
Explanation:
The equation of a line is written as:
y=mx+b
Where m is the slope and m is the y-intercept or the point where y crosses the x-axis.
The given function is f(x)=4-5x.
It can be rewritten as
f(x)=-5x+4.
We can recognize the slope m=-5 and the y-intercept b=4
First option: Incorrect. The y-intercept is not -5
Second option: Incorrect. The y-intercept is not -4
Third option: Correct. The y-intercept is 4
Fourth option: Incorrect. The y-intercept is not 5
The y-intercept of the equation f(x) = -5x + 4 is 4.
The y-intercept is the value of y when x = 0.
The slope intercept equation can be express as follow:
where
m = slope
b = y-intercept
Therefore, let's model the equation f(x) = 4 - 5x to the slope intercept form.
f(x) = -5x + 4
Therefore, according to the slope-intercept equation, the slope is -5 and the y-intercept is 4.
The y-intercept is the value of y when x = 0.
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