To rewrite the system of equations in slope-intercept form, we need to solve each equation for y.
1) −6x + y = 10
To isolate y, we can add 6x to both sides:
y = 6x + 10
2) −36x + 6y = 48
To isolate y, we can divide both sides by 6:
6y = 36x + 48
Divide by 6:
y = 6x + 8
Therefore, the system of equations in slope-intercept form is:
y = 6x + 10
y = 6x + 8
The correct answer is B. y = 6x + 10 and y = 6x + 8.