Question

Choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1).

Answer 1

y - y1 = m(x - x1)
m is slope
y1 and x1 stand for x and y values on coordinate(x, y)

Find slope.
\[m = \frac{ y2 - y1 }{ x2-x1 }\]\[m = \frac{ 1 - 2 }{ 2 - (-3) } = \frac{ 1 - 2 }{ 2 + 3 }=\frac{ -1 }{ 5 }\]\[m = \frac{ -1 }{ 5 }\]So you have a slope of -1/5 and a given point (-3, 2).
Plug the values into the equation.

y - 2 = -1/5(x - (-3))
Two negatives(--) equal a positive(+)

y - 2 = -1/5(x + 3)