Pre-Algebra Examples

- 3 x + y = 5

$- 3 x + y = 5$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

The slope-intercept form is

y = m x + b

$y = m x + b$ , where

m

$m$ is the slope and

b

$b$ is the y-intercept.

y = m x + b

$y = m x + b$

Step 1.2

Add

3 x

$3 x$ to both sides of the equation.

y = 5 + 3 x

$y = 5 + 3 x$

Step 1.3

Reorder

5

$5$ and

3 x

$3 x$ .

y = 3 x + 5

$y = 3 x + 5$

y = 3 x + 5

$y = 3 x + 5$

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

$m$ and

b

$b$ using the form

y = m x + b

$y = m x + b$ .

m = 3

$m = 3$

b = 5

$b = 5$

Step 2.2

The slope of the line is the value of

m

$m$ , and the y-intercept is the value of

b

$b$ .

Slope:

3

$3$

y-intercept:

(0, 5)

$(0, 5)$

Slope:

3

$3$

y-intercept:

(0, 5)

$(0, 5)$

Step 3