If a graph of y=-4x + 2 were changed to a graph of y=-4x+5, how would the y - intercept change?

Question

Mathematics

Manuel Olsen

12 June, 15:55

If a graph of y=-4x + 2 were changed to a graph of y=-4x+5, how would the y - intercept change?

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Answers (1)

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Jake Marquez · Answer 1

So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.

The y-intercept was (0,2) then it becomes (0,5) in the new line.

Step-by-step explanation:

The slope-intercept form a line is y=mx+b where m is the slope and the y-intercept is b.

Both of these equations given are in this form.

y=-4x+2 when compared to y=mx+b you see that m=-4 and b=2.

Since b=2 then the y-intercept is 2.

y=-4x+5 when compared to y=mx+b you see that m=-4 and b=5.

Since b=5 then the y-intercept is 5.

So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.