what is 7x+7y=21 in its slope intercept form?
To write the equation 7x + 7y = 21 in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept, we need to isolate y on one side of the equation.
Step 1: Move the term 7x to the right side of the equation by subtracting 7x from both sides:
7y = -7x + 21
Step 2: Divide both sides of the equation by 7 to solve for y:
y = (-7/7)x + 21/7
Simplifying the equation further, we have:
y = -x + 3
So, the equation 7x + 7y = 21 in slope-intercept form is y = -x + 3.