Write an equation of the line in point slope form that passes through the given points (-1,2) and (-9,-3) An equation of the line is square (Simplify your answer. Type an equation.Type your answer in point-slope form Use integers or fractions for any numbers in the

To find the equation of the line in point-slope form, we first need to calculate the slope of the line using the given points. The slope (m) is calculated using the formula:<br /><br />\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]<br /><br />Given points: (-1, 2) and (-9, -3)<br /><br />Step 1: Calculate the slope (m)<br />\[ m = \frac{-3 - 2}{-9 - (-1)} = \frac{-5}{-8} = \frac{5}{8} \]<br /><br />Step 2: Use the point-slope form equation: \( y - y_1 = m(x - x_1) \)<br /><br />Step 3: Substitute the slope and one of the points into the equation. Let's use the point (-1, 2):<br />\[ y - 2 = \frac{5}{8}(x - (-1)) \]<br />\[ y - 2 = \frac{5}{8}(x + 1) \]<br /><br />Therefore, an equation of the line is:<br />\[ y - 2 = \frac{5}{8}(x + 1) \]