Question
Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Slope \( =5 \), passing through \( (3,5) \) What is the point-slope form of the equation of the line? \( y-5=5(x-3) \) (Simplify your answer Use integers or fractions for any numbers in the equation.) What is the slope-intercept form of the equation of the line? \( \square \) (Simplify your answer. Use integers or fractions for any numbers in the equation.)
Ask by Mejia Fitzgerald. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The slope-intercept form of the equation is \( y = 5x - 10 \).
Solution
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Beyond the Answer
The point-slope form of the line's equation is indeed \( y - 5 = 5(x - 3) \). Now, let's convert that into the slope-intercept form. To do this, distribute the 5: \[ y - 5 = 5x - 15 \] Next, add 5 to both sides to isolate \( y \): \[ y = 5x - 10 \] So, the slope-intercept form of the equation of the line is: \[ y = 5x - 10 \]
