Question

The graph shows a relationship between two quantities.ДУ200018001600140012001000800600400200ХOd-8 -6 4-2 0 2 4Which equation best represents the relationship between the variables?

Answer 1

First let't find the slope

Pick any two point and locate its coordinate

(0, 1500) and (2, 1800)

x₁ = 0 y₁=1500 x₂=2 y₂=1800

substitute the values into the formula below to find the slope

$\text{slope(m)}=\frac{y_2-y_1}{x_2-x_1}$

$=\frac{1800-1500}{2-0}$$=\frac{300}{2}=150$

The y-intercept(b) of the graph is b=1500

Substitute the values of the slope and intercept into y=mx +b

This gives the equation of the graph.

That is:

$y=150x\text{ + 1500}$