Change the following equation of a line into slope-intercept form.y + 18 = -9xGroup of answer choicesy = 9x - 18𝑦=−19𝑥−2y = -9x + 18𝑦=−19𝑥+2y = -9x - 18
Question
Change the following equation of a line into slope-intercept form.
y + 18 = -9x
Group of answer choices
y = 9x - 18
𝑦=−19𝑥−2
y = -9x + 18
𝑦=−19𝑥+2
y = -9x - 18
Solution
1. ### Break Down the Problem
We need to convert the given equation into slope-intercept form, which is , where is the slope and is the y-intercept.
2. ### Relevant Concepts
The slope-intercept form requires us to isolate on one side of the equation. We will follow these steps:
- Subtract 18 from both sides of the equation.
3. ### Analysis and Detail
Starting with the equation: Subtracting 18 from both sides gives:
4. ### Verify and Summarize
We have successfully rewritten the equation in slope-intercept form. The slope is and the y-intercept is .
Final Answer
The slope-intercept form of the equation is:
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