Question

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

Answer 1

Check the picture for graph and work

Answer 2

The graph is in the attachment.

Explanation:

We only need two points to draw a graph of the line.

The slope-point form of an equation of a line:

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

m - slope

(x₁, y₁) - point on a line

We have m = 1/5 and the point (-1, -5) → x₁ = -1, y₁ = -5

Substitute:

`y-(-5)=(1)/(5)(x-(-1))\\\\y+5=(1)/(5)(x+1)`

We given first point (-1, -5).

Calculate other point.

Put x = 4 to the equation of a line:

`y+5=(1)/(5)(4+1)`

`y+5=(1)/(5)(5)`

`y+5=1` subtract 5 from both sides

`y=-4`

Therefore we have second point (4, -4).