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#
Which equation runs through the point (2,-3) with slope 4?

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Question:

A
y = 4x - 11.

explanation

The equations given are straight-line equations in the slope-intercept form, that is:

y = mx + b, where *m* is the slope and *b* is the value of *y* when *x* = 0 (the *y*-intercept)

The equation for the line with a slope of 4 will look something like this:

y = 4x + b

From the choices, this is the only one following this format and is the obvious answer.

However, if there were other choices of equations with a slope of 4, or you need to check to see if the line does pass through (2,-3), do the following:

Plug the values of *x* and *y* (2,-3) to solve for *b*:

y = 4x + b

-3 = 4(2) + b

b = -3 - 8 = -11

Therefore, the line y = 4x - 11 passes through the given point (2,-3).

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