Subjects algebra

Linear Equation 13D6A5

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Question: User: y – 10 = 2(x – 8)
1. **State the problem:** We are given the equation $$y - 10 = 2(x - 8)$$ and need to simplify it or express it in a more standard form. 2. **Use the distributive property:** Apply the distributive property to the right side: $$y - 10 = 2x - 16$$ 3. **Isolate $$y$$:** Add 10 to both sides to solve for $$y$$: $$y - 10 + 10 = 2x - 16 + 10$$ $$y = 2x - 6$$ 4. **Final answer:** The equation in slope-intercept form is: $$y = 2x - 6$$ This means the line has a slope of $$2$$ and a y-intercept of $$-6$$.