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
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I apologize for the mistake. Let me correct my response.
Starting with 4x - 8y = 24:
Subtract 4x from both sides: -8y = -4x + 24
Divide by -8: y = (1/2)x - 3
So, the correct equation in slope-intercept form is y = (1/2)x - 3.
y = 0.5x - 3
ARE YOU SURE
I apologize for the previous incorrect response. Let me correct it:
To transform the equation 4x - 8y = 24 to slope-intercept form, we need to isolate y on one side of the equation.
Starting with 4x - 8y = 24:
Subtract 4x from both sides: -8y = -4x + 24
Divide both sides by -8 to solve for y: y = 0.5x - 3
Thus, the equation in slope-intercept form is y = 0.5x - 3.
I apologize for any confusion caused. Let me provide the correct transformation of the equation:
Starting with 4x - 8y = 24:
Subtract 4x from both sides: -8y = -4x + 24
Divide both sides by -8 to solve for y: y = 0.5x - 3
Thus, the equation in slope-intercept form is y = 0.5x - 3.
I hope this clears up any confusion. If you have any further questions, please let me know.
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
I apologize for the previous incorrect responses. Let me provide the correct transformation of the equation:
Starting with 4x - 8y = 24:
Move the constant term to the other side: -8y = -4x + 24
Divide both sides by -8 to solve for y: y = (2/1)x - 3
Thus, the equation in slope-intercept form is y = 2x - 3.
To transform the linear equation 4x − 8y = 24 to slope-intercept form, we want to isolate y on one side of the equation and express it in terms of x.
Here's how to do it step-by-step:
1. Start with the given equation: 4x − 8y = 24.
2. Move the constant term (24) to the other side by subtracting it from both sides of the equation: 4x − 8y − 24 = 0.
3. Simplify the equation: -8y = -4x + 24.
4. Divide every term in the equation by -8. This will isolate y: y = (-4x + 24) / -8.
5. Simplify the right side of the equation: y = -1/2x + 3.
Therefore, the linear equation 4x − 8y = 24 in slope-intercept form is: y = (-1/2)x + 3.
The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line and b represents the y-intercept (the point where the line crosses the y-axis). In this case, the slope is -1/2 and the y-intercept is 3.