Transform the linear equation 4x−8y=24 to slope-intercept form.(1 point)
Responses
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
4x−8y−24=0
4 x minus 8 y minus 24 equals 0
−8y=−4x+24
negative 8 y equals negative 4 x plus 24
To transform the equation 4x - 8y = 24 into slope-intercept form, we need to solve for y. Let's do that step-by-step:
4x - 8y = 24
-8y = -4x + 24 (Rearrange the terms.)
y = (1/2)x - 3 (Divide both sides by -8 and simplify.)
Therefore, the equation in slope-intercept form is y = (1/2)x - 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. Move the term with the x-variable to the right side of the equation by subtracting 4x from both sides: -8y = -4x + 24.
3. Divide both sides of the equation by -8 to isolate the y-variable on the left side: -8y/-8 = (-4x + 24) / -8.
4. Simplify the equation: y = (1/2)x - 3.
Therefore, the equation 4x−8y=24 is equivalent to the slope-intercept form y = (1/2)x - 3.