Question

A linear equation is shown below. What is the slope of the graph of the equation

Answer 1

Given the equation of the line :

`4x-7y=6`

We will write the equation in slope-intercept form y = m*x + b

where m is the slope

so, it will be as follows:

`\begin{gathered} 4x-7y=6 \\ 4x-6=7y \\ 7y=4x-6 \\ \\ y=(4)/(7)x-(6)/(7) \end{gathered}`

Compare the last equation with the general form

so, the slope = 4/7

so, the answer is option C) 4/7