Question

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

Answer 1

1/2, line rises

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.

Answer 2

Option A. The slope is 1/2.

Explanation:

Slope: m=?

P1=(-1,3)=(x1,y1)→x1=-1, y1=3

P2=(3,5)=(x2,y2)→x2=3, y2=5

`m=(y_(2)-y_(1) )/(x_(2)-x_(1))`

Replacing the known values:

`m=(5-3)/(3-(-1))\\ m=(2)/(3+1)\\ m=(2)/(4)\\ m=(2/2)/(4/2)\\ m=(1)/(2)`

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