Find the Slope and y-intercept y=(5x-8)/2

$y = \frac{5 x - 8}{2}$

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 $\frac{5 x - 8}{2}$ .

Split the fraction $\frac{5 x - 8}{2}$ into two fractions.

$y = \frac{5 x}{2} + \frac{- 8}{2}$

Divide $- 8$ by $2$ .

$y = \frac{5 x}{2} - 4$

Reorder terms.

$y = \frac{5}{2} x - 4$

Step 2

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

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

$m = \frac{5}{2}$

$b = - 4$

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

Slope: $\frac{5}{2}$

y-intercept: $(0, - 4)$

Slope: $\frac{5}{2}$

y-intercept: $(0, - 4)$

Step 3