Change the following equation of a line into slope-intercept form.x - 3 y = -8Group of answer choices𝑦=−13𝑥+83𝑦=13𝑥+83𝑦=13𝑥−83y = -x - 8y = x - 8
Question
Change the following equation of a line into slope-intercept form.x - 3 y = -8Group of answer choices𝑦=−13𝑥+83𝑦=13𝑥+83𝑦=13𝑥−83y = -x - 8y = x - 8
Solution
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
To convert the given equation x - 3y = -8 into slope-intercept form, we need to isolate y.
Here are the steps:
- Subtract x from both sides of the equation: -3y = -x - 8
- Divide every term by -3 to solve for y: y = 1/3x + 8/3
So, the equation of the line in slope-intercept form is y = 1/3x + 8/3.
Similar Questions
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Change the following equation of a line into slope-intercept form.𝑥=(𝑦−21)7Group of answer choicesy = -7x + 21𝑦=17𝑥+3y = 7x - 21𝑦=17𝑥−3y = 7x + 21
A line passes through the point 2, 8 and has a slope of −3.Write an equation in slope-intercept form for this line.
Write an equation in slope-intercept form for the line with slope −8 and y-intercept 9.
Change the following equation of a line into slope-intercept form.x + 3y = 9
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