Question

Which equation is equivalent to the equation 5x-7y=-70

A.y=-7/5x-14

B.y=7/5x+14

C.y=5/7x-10

D.y=5/7x+10​

Answer 1

`\large\boxed{D.\ y=(5)/(7)x+10}`

Explanation:

`Ax+By=C\qquad\text{it's a standard form of an equation of a line}\\\\\\y=mx+b\qquad\text{it's a slope-intercept form of an equation of a line}\\\\\text{We have the equation in the standard form:}\\\\5x-7y=-70\\\\\text{Convert it to the slope - intercept form:}\\\\5x-7y=-70\qquad\text{subtract 5x from both sides}\\\\-7y=-5x-70\qquad\text{divide both sides by (-7)}\\\\y=(5)/(7)x+10`