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
−8y=−4x+24
negative 8 y equals negative 4 x plus 24
y=12x−3
y equals Start Fraction 1 over 2 End Fraction x minus 3
4x−8y=24
To transform the linear equation 4x - 8y = 24 to slope-intercept form, we need to solve for y.
To do this, we can isolate the y-term by subtracting 4x from both sides of the equation:
-8y = -4x + 24
Next, divide both sides of the equation by -8 to solve for y:
y = (-4x + 24) / -8
This can also be simplified as:
y = 1/2x - 3
Therefore, the linear equation 4x - 8y = 24 in slope-intercept form is y = 1/2x - 3.
To transform the linear equation 4x − 8y = 24 to slope-intercept form, we need to isolate the y variable.
Starting with the given equation:
4x − 8y = 24
First, let's subtract 4x from both sides to move the x term to the other side:
-8y = -4x + 24
Next, divide both sides of the equation by -8 to solve for y:
y = (-4x + 24)/-8
Simplifying the equation further:
y = (-1/2)x + 3
Therefore, the linear equation 4x − 8y = 24 can be expressed in slope-intercept form as y = (-1/2)x + 3.