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 \( (-2,-5) \)
\( y-5=3(x+2) \)
\( y-10=3(x-3) \)
\( y-10=3(x+3) \)
\( y+5=3(x+2) \)
\( y+10=3(x-2) \)

Answer

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Answer

3) Point-slope form: \(y - y_1 = m(x - x_1)\) => \(y - 10 = 3(x - 3)\)

Steps

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: \(y - y_1 = m(x - x_1)\) => \(y - 10 = 3(x - 3)\)