Question

Say the slope value of the next line -5x + 3y=30

A. m= -5/3

B. m= -3/5

C. m= 5/3

D. m= 3/5​

Answer 1

`\large\boxed{C).\,m= 5/3}`

Explanation:

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:

`-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}`

When you're done solving, you would see that answer choice C). m = 5/3 would be the correct answer.

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!