Question

Graph the line with slope -1/2 passing through the point (-1,-2)

Answer 1

See attachment for graph

Explanation:

Given

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

`(x_1,y_1) = (-1,2)`

Required

Graph the line

First, is to determine the equation of the line using:

`m = (y - y_1)/(x - x_1)`

So:

`-(1)/(2) = (y - 2)/(x - -1)`

`-(1)/(2) = (y - 2)/(x +1)`

`(-1)/(2) = (y - 2)/(x +1)`

Cross multiply:

`(y -2) * 2 = -1 * (x + 1)`

`(y -2) * 2 = -x -1`

Solve for y - 2

`y -2 = -(x)/(2) -(1)/(2)`

Solve for y

`y = -(x)/(2) -(1)/(2) + 2`

`y = -(x)/(2) +(-1+4)/(2)`

`y = -(x)/(2) +(3)/(2)`

The above equation will then be plotted on the graph (See attachment)