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:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point on a line
We have m = 1/5 and the point (-1, -5) → x₁ = -1, y₁ = -5
Substitute:
[tex]y-(-5)=\dfrac{1}{5}(x-(-1))\\\\y+5=\dfrac{1}{5}(x+1)[/tex]
We given first point (-1, -5).
Calculate other point.
Put x = 4 to the equation of a line:
[tex]y+5=\dfrac{1}{5}(4+1)[/tex]
[tex]y+5=\dfrac{1}{5}(5)[/tex]
[tex]y+5=1[/tex] subtract 5 from both sides
[tex]y=-4[/tex]
Therefore we have second point (4, -4).
