Transform the linear equation 4x−8y=24 to slope-intercept form.(1 point)
Responses
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
4x−8y=24
None of the given responses correctly transform the linear equation 4x−8y=24 to slope-intercept form.
To convert the equation into slope-intercept form (y=mx+b), where m is the slope and b is the y-intercept, we need to isolate y on one side of the equation.
Here is the correct transformation:
4x - 8y = 24
-8y = -4x + 24 (subtract 4x from both sides)
y = (1/2)x - 3 (divide both sides by -8 to get y alone)