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. \( y-[?]=[](x-[]) \)

To find the point-slope equation of the line passing through the points \( (15,10) \) and \( (16,15) \), we first need to calculate the slope (m) using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Plugging in the values, we get: \[ m = \frac{15 - 10}{16 - 15} = \frac{5}{1} = 5 \] Now, using the point-slope formula: \[ y - y_1 = m(x - x_1) \] With \( (x_1, y_1) = (15, 10) \), our equation becomes: \[ y - 10 = 5(x - 15) \] So, the point-slope equation you are looking for is: \[ y - 10 = 5(x - 15) \] This equation perfectly describes the line passing through the given points! Enjoy graphing it!