Question

Find the slope of the line passing through a pair of points

Answer 1

Answer:

Option A. The slope is 1/2.

Step-by-step explanation:

Slope: m=?

P1=(-1,3)=(x1,y1)→x1=-1, y1=3

P2=(3,5)=(x2,y2)→x2=3, y2=5

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

Replacing the known values:

$m=\frac{5-3}{3-(-1)}\\ m=\frac{2}{3+1}\\ m=\frac{2}{4}\\ m=\frac{2/2}{4/2}\\ m=\frac{1}{2}$

The slope is 1/2>0 (positive), then the line rises

Answer 2

Answer:

1/2, line rises

Step-by-step explanation:

We are given the following pair of points and and we are to find the slope of line passing through these points:

(-1, 3) and (3, 5)

Slope = $\frac {y_2 - y_1} {x_2 - x_1}$ = $\frac{5-3} {3--1}$ = $\frac{2} {4}$ = $\frac{1} {2}$

The slope of this line is 1/2 which is positive so the line rises from bottom left towards top right.