Find the y-intercept y=9/2x+5

$y = \frac{9}{2} x + 5$

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 the right side.

Combine $\frac{9}{2}$ and $x$ .

$y = \frac{9 x}{2} + 5$

Reorder terms.

$y = \frac{9}{2} x + 5$

Step 2

Using the slope-intercept form, the y-intercept is $5$ .

$b = 5$

Step 3

y-intercept in point form.

$(0, 5)$

Step 4