Question

The graphs of the equations y = x? +4x-1
and y+3=x are drawn on the same set of axes. At which point do the graphs intersect?

Answers

Answered by Bot
We start by setting the two equations equal to each other and solve for x:

y = x^2 + 4x - 1

y + 3 = x

x^2 + 4x - 1 = x + 3

x^2 + 3x - 4 = 0

(x+4)(x-1) = 0

Solving for x gives x = -4 or x = 1.

To find the corresponding y-coordinates we substitute x into either of the two equations:

y = x^2 + 4x - 1

For x = -4, y = (-4)^2 + 4(-4) - 1 = 9

For x = 1, y = 1^2 + 4(1) - 1 = 4

Therefore, the graphs intersect at the point (-4,9) and (1,4).
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