Problem
Find the slope of the line that passes through the given point. Then write the equation of the line in point-slope form. Select all that apply. \( (3,10) \) and \( (-2,-5) \) \( y-5=3(x+2) \) \( y-10=3(x-3) \) \( y-10=3(x+3) \) \( y+5=3(x+2) \) \( y+10=3(x-2) \)
Solution
Step 1 ：1) \(m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 - 10}{-2 - 3}\)
Step 2 ：2) \(m = \frac{-15}{-5} = 3\)
Step 3 ：3) Point-slope form: \(y - y_1 = m(x - x_1)\) => \(y - 10 = 3(x - 3)\)
