Question

Which of the following linear equations matches the graph

y = 1/3 x

y = 3/2 x

y = 3x

y = 2x

y = 2/3 x

Answer 1

D) y=2/3x

Explanation:

The slope=rise/run, it's 2/3 in this graph.

Answer 2

The only linear equation that matches the graph is: Option E: y = 2/3 x

What is the equation of the line?

The general form for the equation of a Line in slope intercept form is:

y = mx + c

Where:

m is slope

c is y-intercept

We can find the slope between two coordinates using the formula:

m =
`((y_(2) - y_(1)) )/((x_(2) - x_(1)))`

Using the given coordinates (-3, -2) and (3, 2), we have:

m = (2 - (-2))/(3 - (-3))

m = 4/6 = 2/3

The only equation with slope of 2/3 is Option E