Put the following equation of a line into slope-intercept form, simplifying all fractions.
2, x, plus, 8, y, equals, 32
2x+8y=
32
To put the equation 2x + 8y = 32 into slope-intercept form (y = mx + b), we need to isolate the y variable on one side of the equation.
Step 1: Subtract 2x from both sides:
2x + 8y - 2x = 32 - 2x
8y = -2x + 32
Step 2: Divide both sides by 8 to solve for y:
8y/8 = (-2x + 32)/8
y = (-2/8)x + 4
Thus, the equation in slope-intercept form is y = (-1/4)x + 4.
To put the equation 2x + 8y = 32 into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept, follow these steps:
Step 1: Move the term with the x variable to the other side of the equation.
Start with the equation: 2x + 8y = 32
Subtract 2x from both sides of the equation:
2x - 2x + 8y = -2x + 32
This simplifies to: 8y = -2x + 32
Step 2: Simplify the equation if necessary.
The term -2x can be simplified further. Divide every term by 2 to simplify the equation:
(8y)/2 = (-2x + 32)/2
This simplifies to: 4y = -x + 16
Step 3: Divide by the coefficient of y to isolate y.
Divide every term by 4 to isolate y:
(4y)/4 = (-x + 16)/4
This simplifies to: y = (-1/4)x + 4
The equation 2x + 8y = 32 in slope-intercept form is y = (-1/4)x + 4.
To put the equation 2x + 8y = 32 into slope-intercept form, which is in the form y = mx + b, where m represents the slope and b represents the y-intercept, follow these steps:
Step 1: Move the term containing x to the other side of the equation.
2x + 8y = 32
Subtract 2x from both sides: 8y = -2x + 32
Step 2: Simplify the equation by dividing both sides by the coefficient of y (which is 8 in this case).
8y = -2x + 32
Divide both sides by 8: (8y)/8 = (-2x + 32)/8
y = (-2/8)x + 4
Step 3: Simplify the fraction (-2/8) by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2.
y = (-1/4)x + 4
So, the equation 2x + 8y = 32 is simplified to the slope-intercept form y = (-1/4)x + 4.