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? \( \square \) (Simplify your answer. Use integers or fractions for any numbers in the equation.)

The point-slope form of the line's equation can be written as: \( y - y_1 = m(x - x_1) \) Plugging in the given slope \( m = 5 \) and the point \( (x_1, y_1) = (3, 5) \), we get: \( y - 5 = 5(x - 3) \) To convert this into slope-intercept form (which is \( y = mx + b \)), we simplify the equation: 1. Distribute: \( y - 5 = 5x - 15 \) 2. Add 5 to both sides: \( y = 5x - 10 \) Thus, the slope-intercept form of the equation is: \( y = 5x - 10 \)