Find the Slope and y-intercept y-2x+7

$y - 2 x + 7$

Step 1

Write $y - 2 x + 7$ as an equation.

$y - 2 x + 7 = 0$

Step 2

Rewrite in slope-intercept form.

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

$y = m x + b$

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

Add $2 x$ to both sides of the equation.

$y + 7 = 2 x$

Subtract $7$ from both sides of the equation.

$y = 2 x - 7$

Step 3

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

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

$m = 2$

$b = - 7$

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

Slope: $2$

y-intercept: $(0, - 7)$

Slope: $2$

y-intercept: $(0, - 7)$

Step 4