Mathematics: A line that has a rise of -34 and a run of 20.

A line that has a rise of -34 and a run of 20.

larissa1013

22.01.2022

y=-1.7x-34

Step-by-step explanation:

An equation of a line is given y=mx+c , where m is the gradient or $\frac{Rise}{Run}$

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).

$m =\frac{Rise}{Run} \\ =\frac{-34}{20}\\ =-1.7$

Substitute point 1 into the graph to get the constant c.

y=mx+c

-34=(-1.7)*(0)+c

c=-34

∴ The equation of the line is, y=-1.7x-34

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