Question

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

Answer 1

Answer:

See attachment for graph

Step-by-step explanation:

Given

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

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

Required

Graph the line

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

$m = \frac{y - y_1}{x - x_1}$

So:

$-\frac{1}{2} = \frac{y - 2}{x - -1}$

$-\frac{1}{2} = \frac{y - 2}{x +1}$

$\frac{-1}{2} = \frac{y - 2}{x +1}$

Cross multiply:

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

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

Solve for y - 2

$y -2 = -\frac{x}{2} -\frac{1}{2}$

Solve for y

$y = -\frac{x}{2} -\frac{1}{2} + 2$

$y = -\frac{x}{2} +\frac{-1+4}{2}$

$y = -\frac{x}{2} +\frac{3}{2}$

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