Finite Math Examples

$2 x - 8 + (x + y) = 8 + 18$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

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

$y = m x + b$

Step 1.2

Simplify the left side.

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Step 1.2.1

Add $2 x$ and $x$ .

$3 x - 8 + y = 8 + 18$

Step 1.3

Simplify the right side.

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Step 1.3.1

Add $8$ and $18$ .

$3 x - 8 + y = 26$

Step 1.4

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

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Step 1.4.1

Subtract $3 x$ from both sides of the equation.

$- 8 + y = 26 - 3 x$

Step 1.4.2

Add $8$ to both sides of the equation.

$y = 26 - 3 x + 8$

Step 1.4.3

Add $26$ and $8$ .

$y = - 3 x + 34$

Step 2

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

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Step 2.1

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

$m = - 3$

$b = 34$

Step 2.2

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

Slope: $- 3$

y-intercept: $(0, 34)$

Slope: $- 3$

y-intercept: $(0, 34)$

Step 3