The equation y = mx of the graph is a linear equation
The linear equation that demonstrates the relationship on the graph is y = mx
How to determine the equation from the graph
The points on the graph are given as:
(1, m) and (x, y)
Start by calculating the slope (M)
[tex]M = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]M = \frac{y - m}{x - 1}[/tex]
The linear equation is then calculated as:
[tex]y = M(x - x_1) + y_1[/tex]
This gives
[tex]y = \frac{y - m}{x- 1}(x - 0) + 0[/tex]
[tex]y = \frac{y - m}{x- 1}(x)[/tex]
Cross multiply
[tex]yx-y = yx - mx[/tex]
Evaluate the common terms
[tex]-y =- mx[/tex]
Divide both sides by -1
y = mx
Hence, the equation of the graph is y = mx
Read more about linear equations at:
https://brainly.com/question/14323743
