Find the Slope and y-intercept p(x)=7-7/5x

$p (x) = 7 - \frac{7}{5} x$

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 each term.

Combine $x$ and $\frac{7}{5}$ .

$y = 7 - \frac{x \cdot 7}{5}$

Move $7$ to the left of $x$ .

$y = 7 - \frac{7 x}{5}$

Reorder $7$ and $- \frac{7 x}{5}$ .

$y = - \frac{7 x}{5} + 7$

Write in $y = m x + b$ form.

Reorder terms.

$y = - (\frac{7}{5} x) + 7$

Remove parentheses.

$y = - \frac{7}{5} x + 7$

Step 2

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

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

$m = - \frac{7}{5}$

$b = 7$

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

Slope: $- \frac{7}{5}$

y-intercept: $(0, 7)$

Slope: $- \frac{7}{5}$

y-intercept: $(0, 7)$

Step 3