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
−8y=−4x+24
negative 8 y equals negative 4 x plus 24
y=12x−3
The linear equation 4x - 8y = 24 can be transformed to slope-intercept form as y = 12x - 3.
To convert the linear equation 4x - 8y = 24 to slope-intercept form, follow these steps:
1. Start with the equation: 4x - 8y = 24
2. Move the constant term to the other side by subtracting 24 from both sides: 4x - 8y - 24 = 0
3. Rearrange the equation to isolate the variable term: -8y = -4x + 24
4. Divide both sides of the equation by -8 to solve for y: y = (1/8)(-4x + 24)
5. Simplify the equation: y = -1/2x + 3
Finally, the slope-intercept form of the given linear equation is y = -1/2x + 3.
Write y−2=32(x+2) in slope-intercept form.(1 point)
Responses
y=32x+5
y equals Start Fraction 3 over 2 End Fraction x plus 5
y=32x+32
y equals Start Fraction 3 over 2 End Fraction x plus Start Fraction 3 over 2 End Fraction
y=32+5x
y equals Start Fraction 3 over 2 End Fraction plus 5 x
y=32x+6
y equals Start Fraction 3 over 2 End Fraction x plus 6