Question

Graph the line passing through (−5,−4) whose slope is m=1/5.

Answer 1

The answer is:

below

Work/explanation:

First, we need to find the equation of the line. We're given that:

its slope = 1/5

a point it goes through = (−5,−4)

Plug the data into point-slope

`\rm{y-y_1=m(x-x_1)}`

where m = slope and the point is (x₁, y₁).

Plug in:

`\rm{y-(-4)=(1)/(5)(x-(-5)}`

Simplify fully

`\rm{y+4=(1)/(5)(x+5)}`

Now let's graph it. I'll use Desmos - the graphing calculator.

Answer 2

`y=(1)/(5)x-3`

Explanation:

`y-y_1=m(x-x_1)\\y-(-4)=(1)/(5)(x-(-5))\\y+4=(1)/(5)(x+5)\\y+4=(1)/(5)x+1\\y=(1)/(5)x-3`

Plot that into Desmos and you got your graph :)