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
4x−8y=24
4 x minus 8 y equals 24
−8y=−4x+24
y=1/2x-3
Write y−2=3/2(x+2) in slope-intercept form.(1 point)
Responses
y=3/2+5x
y equals Start Fraction 3 over 2 End Fraction plus 5 x
y=3/2x+6
y equals Start Fraction 3 over 2 End Fraction x plus 6
y=3/2x+32
y equals Start Fraction 3 over 2 End Fraction x plus Start Fraction 3 over 2 End Fraction
y=3/2x+5
y=3/2x+5
Identify the slope and the y -intercept of the equation 4x−3y=12 .(1 point)
Responses
The slope is 4/3, and the y-intercept is (0, −4).
The slope is Start Fraction 4 over 3 End Fraction , and the y-intercept is left parenthesis 0 comma negative 4 right parenthesis .
The slope is −4/3, and the y-intercept is (0, 4).
The slope is negative Start Fraction 4 over 3 End Fraction , and the y-intercept is left parenthesis 0 comma 4 right parenthesis .
The slope is 4, and the y-intercept is (0, 12).
The slope is 4, and the y-intercept is left parenthesis 0 comma 12 right parenthesis .
The slope is 4/3, and the y-intercept is (0, 4).
The slope is 4/3, and the y-intercept is (0, -4).
To transform the linear equation 4x - 8y = 24 to slope-intercept form, you need to isolate the y variable. Here are the steps:
1. Start with the equation 4x - 8y = 24.
2. Subtract 4x from both sides of the equation: -8y = -4x + 24.
3. Divide both sides of the equation by -8 to solve for y: y = (1/2)x - 3.
Therefore, the equation in slope-intercept form is y = (1/2)x - 3.
To transform the linear equation 4x − 8y = 24 into slope-intercept form, you need to isolate y on one side of the equation.
Start by subtracting 4x from both sides of the equation:
-8y = -4x + 24
Next, divide both sides by -8 to solve for y:
y = (-4x + 24) / -8
Finally, simplify the expression:
y = -1/2x + 3