Problem

Find the slope and $y$-intercept of the line with equation $3 x-y=5$. Then graph the line.

Answer

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Answer

\(\boxed{\text{The slope of the line is } 3 \text{ and the } y\text{-intercept is } -5}\)

Steps

Step 1 ：Rearrange the equation $3x - y = 5$ into slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.

Step 2 ：The equation becomes $y = 3x - 5$

Step 3 ：From the equation, we can see that the slope $m$ is $3$ and the $y$-intercept $b$ is $-5$

Step 4 ：Plot the line using these values. The line passes through the point $(0, -5)$ and rises $3$ units for every $1$ unit it moves to the right.

Step 5 ：\(\boxed{\text{The slope of the line is } 3 \text{ and the } y\text{-intercept is } -5}\)

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