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.

Answer

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Answer

Write the final answer in point-slope form: $y - 1 = 1 (x - 3)$

Steps

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: $y - 1 = 1 (x - 3)$