Find the Slope and y-intercept f(x)=2x-(3+8x)/8

$f (x) = 2 x - \frac{(3 + 8 x)}{8}$

Step 1

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.

$y = m x + b$

Simplify the right side.

Simplify $2 x - \frac{3 + 8 x}{8}$ .

To write $2 x$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$y = 2 x \cdot \frac{8}{8} - \frac{3 + 8 x}{8}$

Simplify terms.

Combine $2 x$ and $\frac{8}{8}$ .

$y = \frac{2 x \cdot 8}{8} - \frac{3 + 8 x}{8}$

Combine the numerators over the common denominator.

$y = \frac{2 x \cdot 8 - (3 + 8 x)}{8}$

Simplify the numerator.

Multiply $8$ by $2$ .

$y = \frac{16 x - (3 + 8 x)}{8}$

Apply the distributive property.

$y = \frac{16 x - 1 \cdot 3 - (8 x)}{8}$

Multiply $- 1$ by $3$ .

$y = \frac{16 x - 3 - (8 x)}{8}$

Multiply $8$ by $- 1$ .

$y = \frac{16 x - 3 - 8 x}{8}$

Subtract $8 x$ from $16 x$ .

$y = \frac{8 x - 3}{8}$

Simplify $\frac{8 x - 3}{8}$ .

Split the fraction $\frac{8 x - 3}{8}$ into two fractions.

$y = \frac{8 x}{8} + \frac{- 3}{8}$

Simplify each term.

Cancel the common factor of $8$ .

Cancel the common factor.

$y = \frac{8 x}{8} + \frac{- 3}{8}$

Divide $x$ by $1$ .

$y = x + \frac{- 3}{8}$

Move the negative in front of the fraction.

$y = x - \frac{3}{8}$

Step 2

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

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

$m = 1$

$b = - \frac{3}{8}$

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

Slope: $1$

y-intercept: $(0, - \frac{3}{8})$

Slope: $1$

y-intercept: $(0, - \frac{3}{8})$

Step 3

Find the Slope and y-intercept f(x)=2x-(3+8x)/8

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