Find the Slope and y-intercept f(x)=-3/4x+4

$f (x) = - \frac{3}{4} x + 4$

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 $\frac{3}{4}$ .

$y = - \frac{x \cdot 3}{4} + 4$

Move $3$ to the left of $x$ .

$y = - \frac{3 x}{4} + 4$

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

Reorder terms.

$y = - (\frac{3}{4} x) + 4$

Remove parentheses.

$y = - \frac{3}{4} x + 4$

Step 2

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

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

$m = - \frac{3}{4}$

$b = 4$

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

Slope: $- \frac{3}{4}$

y-intercept: $(0, 4)$

Slope: $- \frac{3}{4}$

y-intercept: $(0, 4)$

Step 3