[tex]\large\boxed{C).\,m= 5/3}[/tex]
In this question, we're finding the slope of the line.
What this means is that we have to make the equation into slope intercept form.
Slope intercept form is: y = mx + b
In order to get the equation to slope intercept form, we have to get y by itself and solve from there.
Solve:
[tex]-5x + 3y=30\\\\\text{Add 5x to both sides to get 3y by itself}\\\\3y=5x+30\\\\\text{Divide both sides by 3}\\\\y = 5/3x+30\\\\\text{The slope of the equation would be 5/3}[/tex]
When you're done solving, you would see that answer choice C). m = 5/3 would be the correct answer.
