Slope-Intercept Form Quick Check
1 of 51 of 5 Items
Question
Transform the linear equation 4x−8y=24 to slope-intercept form.(1 point)
Responses
4x−8y=24
4 x minus 8 y equals 24
4x−8y−24=0
4 x minus 8 y minus 24 equals 0
y=12x−3
y equals Start Fraction 1 over 2 End Fraction x minus 3
−8y=−4x+24
Negative 8 y equals negative 4 x plus 24
To transform the linear equation 4x−8y=24 to slope-intercept form, follow these steps:
Step 1: Move the constant term to the other side of the equation:
4x−8y−24=0
Step 2: Divide the entire equation by the coefficient of y to isolate y:
-8y=4x−24
Step 3: Divide each term by the coefficient of y (-8) to solve for y:
y = -4/8x + 24/-8
Step 4: Simplify the equation:
y = -1/2x - 3
So, the linear equation 4x−8y=24 can be written in slope-intercept form y = -1/2x - 3.