Answer:
2
Step-by-step explanation:
The slope of the line through the given points is found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (-4 -4)/(5 -1) = -8/4 = -2
The equations are written in standard form, slope-intercept form, and point-slope form. We can eliminate equations with slope that is not -2. That removes choice B.
The point-slope equation form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
Using the given points, the equations would be ...
y -4 = -2(x -1) . . . . matches C
y +4 = -2(x -5) . . . . differs from D, so D can be eliminated
Rearranging the point-slope form to standard form, we find ...
y = -2x +2 +4
2x +y = 6 . . . . matches A
So, equations A and C represent the line through the given points. Two of the equations represent the line.
