Question

Jenny is converting x-y=-9 to slope-intercept form. She begins by -x from both sides. What is the resulting equation?

A. -x-y=-9
B. 2x-y=-9
C. y=-x-9
D. -y=-x-9

Answer 1

After subtracting x from both sides of the equation x-y=-9, Jenny gets -y=-x-9. To convert this to slope-intercept form, she would multiply both sides by -1, resulting in y=x+9.

Step-by-step explanation:

Jenny is converting the equation x-y=-9 to slope-intercept form. She begins by subtracting x from both sides. To isolate the y variable on one side of the equation, she will perform the operation -x from both sides, which will result in the equation -y=-x-9.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. Since the result -y=-x-9 still has the y with a negative coefficient, we will need to multiply both sides by -1 to get the slope-intercept form. Ultimately, the correct slope-intercept form of the equation is y = x + 9.