Question

a line has a slope of $-\frac{5}{6}$ and a y-intercept of $\frac{5}{2}$. write its equation in slope-intercept form.
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Substitute given values

Substitute $m = -\frac{5}{6}$ and $b = \frac{3}{2}$ into the formula.
$y = -\frac{5}{6}x + \frac{3}{2}$

Answer:

$y = -\frac{5}{6}x + \frac{3}{2}$