Question

What is the slope of the graph of the equation 4x − 6y = 2?A.−4B.−1C.2/3D.3/2

Answer 1

C. 2/3

Explanation:

We can easily determine the slope of an equation if we convert it to its slope-intercept form, which is as follows:

`\begin{gathered} y=mx+b \\ \text{ where m is the slope} \end{gathered}`

We do it in this one to be able to determine the slope:

`\begin{gathered} 4x-6y=2 \\ -6y=2-4x \\ y=(2)/(-6)-(4)/(-6)x \\ y=-(1)/(3)+(2)/(3)x \\ y=(2)/(3)x-(1)/(3) \\ \text{therefore:} \\ m=(2)/(3) \end{gathered}`

The slope is equal to 2/3