Find the Slope and Y-Intercept y-3(x-1)=0

$y - 3 (x - 1) = 0$

Rewrite in slope-intercept form.

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The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Simplify each term.

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Apply the distributive property.

$y - 3 x - 3 \cdot - 1 = 0$

Multiply $- 3$ by $- 1$ .

$y - 3 x + 3 = 0$

Reorder $y$ and $- 3 x$ .

$- 3 x + y + 3 = 0$

Move all terms not containing $y$ to the right side of the equation.

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Add $3 x$ to both sides of the equation.

$y + 3 = 3 x$

Subtract $3$ from both sides of the equation.

$y = 3 x - 3$

Use the slope-intercept form to find the slope and y-intercept.

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Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = 3$

$b = - 3$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $3$

y-intercept: $- 3$

Slope: $3$

y-intercept: $- 3$

Find the Slope and Y-Intercept y-3(x-1)=0