Transform the linear equation 4x−8y=24 to slope-intercept form.(1 point)
Responses
4x−8y−24=0
4 x minus 8 y minus 24 equals 0
4x−8y=24
4 x minus 8 y equals 24
y=12x−3
y equals Start Fraction 1 over 2 End Fraction x minus 3
−8y=−4x+24
y=1/2x-3
To transform the linear equation 4x − 8y = 24 to slope-intercept form, follow these steps:
1. Start with the given equation: 4x − 8y = 24.
2. Solve for y by isolating it on one side of the equation. Subtract 4x from both sides: -8y = -4x + 24.
3. To make the coefficient of y positive, divide both sides of the equation by -8: -8y/-8 = (-4x + 24)/-8.
This simplifies to: y = 0.5x - 3.
Therefore, the equation 4x − 8y = 24 can be written in slope-intercept form as y = 0.5x - 3.
To transform the linear equation 4x - 8y = 24 to slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, follow these steps:
Step 1: Start with the given equation 4x - 8y = 24.
Step 2: Isolate the term with the variable y by subtracting 4x from both sides: -8y = -4x + 24.
Step 3: Divide all terms by -8 to solve for y: y = (-4x + 24) / -8.
Step 4: Simplify the equation: y = (-1/2)x + 3.
The transformed equation in slope-intercept form is y = (-1/2)x + 3. The slope is -1/2, and the y-intercept is 3.