Find the Slope and y-intercept y=(25-3x)/5

$y = \frac{25 - 3 x}{5}$

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 $\frac{25 - 3 x}{5}$ .

Split the fraction $\frac{25 - 3 x}{5}$ into two fractions.

$y = \frac{25}{5} + \frac{- 3 x}{5}$

Simplify each term.

Divide $25$ by $5$ .

$y = 5 + \frac{- 3 x}{5}$

Move the negative in front of the fraction.

$y = 5 - \frac{3 x}{5}$

Reorder $5$ and $- \frac{3 x}{5}$ .

$y = - \frac{3 x}{5} + 5$

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

Reorder terms.

$y = - (\frac{3}{5} x) + 5$

Remove parentheses.

$y = - \frac{3}{5} x + 5$

Step 2

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

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

$m = - \frac{3}{5}$

$b = 5$

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

Slope: $- \frac{3}{5}$

y-intercept: $(0, 5)$

Slope: $- \frac{3}{5}$

y-intercept: $(0, 5)$

Step 3