Answer:
[tex]y=-1.7x-34[/tex]
Step-by-step explanation:
An equation of a line is given [tex]y=mx+c[/tex], where m is the gradient or [tex]\frac{Rise}{Run}[/tex]
The rise indicates the change in value of y (vertical change in the graph).
The run indicates the change in value of x (horizontal change in the graph).
Let point 1 of the graph be (x,y) = (0,-34) and point 2 be (x,y) = (20,0).
[tex]m =\frac{Rise}{Run} \\ =\frac{-34}{20}\\ =-1.7[/tex]
Substitute point 1 into the graph to get the constant c.
[tex]y=mx+c[/tex]
[tex]-34=(-1.7)*(0)+c[/tex]
[tex]c=-34[/tex]
∴ The equation of the line is, [tex]y=-1.7x-34[/tex]
