Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. Passing through $(3,1)$ with $x$-intercept 2 Write an equation for the line in point-slope form. \[ y-1=1(x-3) \] (Simplify your answer. Use integers or fractions for any numbers in the equation.) Write an equation for the line in slope-intercept form.

Step 1 ：Find the slope of the line using the given point $(3,1)$ and the $x$-intercept $(2,0)$

Step 2 ：Use the point-slope form equation $y - y_1 = m(x - x_1)$ where $(x_1, y_1)$ is the given point and $m$ is the slope

Step 3 ：Substitute the given point $(3,1)$ and the slope $m=1$ into the point-slope form equation

Step 4 ：Simplify the equation if necessary

Step 5 ：Write the final answer in point-slope form: \(\boxed{y - 1 = 1(x - 3)}\)