Which equation runs through point (2,-3) with slope 4?
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 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 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 thru the given point (2,-3)
Visit our website for other GED topics now!
