Put the following equation of a line into slope-intercept form, simplifying all fractions.
4x+4y=32
To put the equation 4x+4y=32 into slope-intercept form, we need to isolate y on one side of the equation.
Subtracting 4x from both sides:
4y = -4x + 32
Dividing both sides by 4:
y = -x + 8
Therefore, the equation in slope-intercept form is y = -x + 8.
To put the equation 4x + 4y = 32 into slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept, follow these steps:
Step 1: Isolate the variable y by subtracting 4x from both sides of the equation:
4y = -4x + 32
Step 2: Simplify the expression by dividing both sides of the equation by 4:
y = (-4/4)x + 32/4
Step 3: Simplify the fractions:
y = -x + 8
Therefore, the equation 4x + 4y = 32 in slope-intercept form is y = -x + 8.
To put the equation 4x + 4y = 32 in slope-intercept form, we need to isolate y on one side of the equation.
Step 1: Rewrite the equation in the form "y = mx + b" where m represents the slope and b represents the y-intercept.
4x + 4y = 32
Step 2: Subtract 4x from both sides to move the x term to the opposite side of the equation.
4y = -4x + 32
Step 3: Divide both sides of the equation by 4 to solve for y.
y = (-4/4)x + (32/4)
Simplifying the fractions, we get:
y = -x + 8
Therefore, the equation 4x + 4y = 32 can be rewritten in slope-intercept form as y = -x + 8.