Question

What is the equation of the line? O y=3/2x O y=2/3x O y=3x O y=2x

Answer 1

Step-by-step explanation:

We would apply the slope formula:

slope = change in y/change in x

change in y = 4 - 0 = 4

change in x = 6 - 0 = 6

Also note on the graph, the change in y is represented by y. And the change in x is represented by x

`\begin{gathered} slope=(4)/(6) \\ \text{slope =}(y)/(x) \end{gathered}`

Equating both:

`\begin{gathered} (y)/(x)=(4)/(6) \\ (y)/(x)=(2)/(3) \end{gathered}`

Multiply both sides by x:

`\begin{gathered} (y)/(x)* x=(2)/(3)\text{ }*\text{ x} \\ y\text{ = }(2x)/(3)\text{ (option B)} \end{gathered}`