Find the point-slope equation for the line that passes through the points \( (15,10) \) and \( (16,15) \). Use the first point in your equation. \( y-[?]=[](x-[\square) \)

To find the point-slope equation, we first need to calculate the slope (m) of the line that passes through the points \( (15,10) \) and \( (16,15) \). The slope is given by the formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Using the points: - \( (x_1, y_1) = (15, 10) \) - \( (x_2, y_2) = (16, 15) \) Plugging in the values, we get: \( m = \frac{15 - 10}{16 - 15} = \frac{5}{1} = 5 \) Now, we can use the first point \( (15, 10) \) along with the slope to write the point-slope equation: \[ y - 10 = 5(x - 15) \] So, the point-slope equation is: \( y - [10] = [5](x - [15]) \)