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

Answer:

The graph is in the attachment.

Step-by-step 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:

$y-(-5)=\dfrac{1}{5}(x-(-1))\\\\y+5=\dfrac{1}{5}(x+1)$

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

Calculate other point.

Put x = 4 to the equation of a line:

$y+5=\dfrac{1}{5}(4+1)$

$y+5=\dfrac{1}{5}(5)$

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

$y=-4$

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