Find the Slope and y-intercept q(x)=4(1-4/5x)+6x

$q (x) = 4 (1 - \frac{4}{5} x) + 6 x$

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 $4 (1 - \frac{4}{5} x) + 6 x$ .

Simplify each term.

Combine $x$ and $\frac{4}{5}$ .

$y = 4 (1 - \frac{x \cdot 4}{5}) + 6 x$

Move $4$ to the left of $x$ .

$y = 4 (1 - \frac{4 x}{5}) + 6 x$

Apply the distributive property.

$y = 4 \cdot 1 + 4 (- \frac{4 x}{5}) + 6 x$

Multiply $4$ by $1$ .

$y = 4 + 4 (- \frac{4 x}{5}) + 6 x$

Multiply $4 (- \frac{4 x}{5})$ .

Multiply $- 1$ by $4$ .

$y = 4 - 4 \frac{4 x}{5} + 6 x$

Combine $- 4$ and $\frac{4 x}{5}$ .

$y = 4 + \frac{- 4 (4 x)}{5} + 6 x$

Multiply $4$ by $- 4$ .

$y = 4 + \frac{- 16 x}{5} + 6 x$

Move the negative in front of the fraction.

$y = 4 - \frac{16 x}{5} + 6 x$

To write $6 x$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = 4 - \frac{16 x}{5} + 6 x \cdot \frac{5}{5}$

Simplify terms.

Combine $6 x$ and $\frac{5}{5}$ .

$y = 4 - \frac{16 x}{5} + \frac{6 x \cdot 5}{5}$

Combine the numerators over the common denominator.

$y = 4 + \frac{- 16 x + 6 x \cdot 5}{5}$

Simplify the numerator.

Factor $2 x$ out of $- 16 x + 6 x \cdot 5$ .

Factor $2 x$ out of $- 16 x$ .

$y = 4 + \frac{2 x (- 8) + 6 x \cdot 5}{5}$

Factor $2 x$ out of $6 x \cdot 5$ .

$y = 4 + \frac{2 x (- 8) + 2 x (3 \cdot 5)}{5}$

Factor $2 x$ out of $2 x (- 8) + 2 x (3 \cdot 5)$ .

$y = 4 + \frac{2 x (- 8 + 3 \cdot 5)}{5}$

Multiply $3$ by $5$ .

$y = 4 + \frac{2 x (- 8 + 15)}{5}$

Add $- 8$ and $15$ .

$y = 4 + \frac{2 x \cdot 7}{5}$

Multiply $7$ by $2$ .

$y = 4 + \frac{14 x}{5}$

Reorder $4$ and $\frac{14 x}{5}$ .

$y = \frac{14 x}{5} + 4$

Reorder terms.

$y = \frac{14}{5} x + 4$

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

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

$m = \frac{14}{5}$

$b = 4$

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

Slope: $\frac{14}{5}$

y-intercept: $(0, 4)$

Slope: $\frac{14}{5}$

y-intercept: $(0, 4)$

Find the Slope and y-intercept q(x)=4(1-4/5x)+6x

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