Write the point-slope form of the line satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation. Passing through \( (1,3) \) and \( (2,6) \) Type the point-slope form of the equation of the line. Thimplify your answer. Use integers or fractions for any number in the equation.) Type the-intercept form of the equation of the line. (Simplify your answer. Use integers or fractions for any number in the equation.)

To find the point-slope form of the line passing through the points \( (1,3) \) and \( (2,6) \), we first need to calculate the slope \( m \): \[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 3}{2 - 1} = \frac{3}{1} = 3 \] Now, using the point-slope formula \( y - y_1 = m(x - x_1) \) with point \( (1,3) \): \[ y - 3 = 3(x - 1) \] This is the point-slope form. Now, let's convert it to slope-intercept form: Start with the point-slope form: \[ y - 3 = 3(x - 1) \] Distributing \( 3 \) gives: \[ y - 3 = 3x - 3 \] Adding \( 3 \) to both sides results in: \[ y = 3x + 0 \] So, the slope-intercept form is: \[ y = 3x \]