Transform 6x + -5y = -7 into slope-intercept form (y=mx + b )

Answer 1

To transform the equation 6x + -5y = -7 into slope-intercept form (y=mx + b), we need to isolate the y variable on the left side of the equation.

First, we will get rid of the 6x term by subtracting 6x from both sides:
-5y = -6x - 7

Next, we will divide both sides of the equation by -5 to isolate the y variable:
y = (-6x - 7) / -5

Simplifying the equation, we have:
y = 6/5x + 7/5

Therefore, in slope-intercept form, the equation is y = 6/5x + 7/5.