Find the Slope and y-intercept 4x-y=3

$4 x - y = 3$

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.

$y = m x + b$

Subtract $4 x$ from both sides of the equation.

$- y = 3 - 4 x$

Divide each term in $- y = 3 - 4 x$ by $- 1$ and simplify.

Divide each term in $- y = 3 - 4 x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{3}{- 1} + \frac{- 4 x}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{3}{- 1} + \frac{- 4 x}{- 1}$

Divide $y$ by $1$ .

$y = \frac{3}{- 1} + \frac{- 4 x}{- 1}$

Simplify the right side.

Simplify each term.

Divide $3$ by $- 1$ .

$y = - 3 + \frac{- 4 x}{- 1}$

Move the negative one from the denominator of $\frac{- 4 x}{- 1}$ .

$y = - 3 - 1 \cdot (- 4 x)$

Rewrite $- 1 \cdot (- 4 x)$ as $- (- 4 x)$ .

$y = - 3 - (- 4 x)$

Multiply $- 4$ by $- 1$ .

$y = - 3 + 4 x$

Reorder $- 3$ and $4 x$ .

$y = 4 x - 3$

Step 2

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

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

$m = 4$

$b = - 3$

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

Slope: $4$

y-intercept: $(0, - 3)$

Slope: $4$

y-intercept: $(0, - 3)$

Step 3