# What is the equation in slope-intercept form that goes through the points (2,4) and (8,9)?

Apr 9, 2018

$y = \frac{5}{6} x + \frac{7}{3}$

#### Explanation:

Slope-Intercept form: $y = m x + b$, where $m$ represents the slope and $b$ the y-intercept

$\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} \rightarrow$ Formula for finding slope using two points

$\frac{9 - 4}{8 - 2} \rightarrow$ Plug the given points in

$\frac{5}{6} \rightarrow$ This is our slope

Currently, our equation is $y = \frac{5}{6} x + b$. We still need to find the y-intercept

Let's plug in the point (2, 4) and solve for b.

$4 = \frac{5}{6} \cdot 2 + b$

$4 = \frac{5}{3} + b$

$b = \frac{7}{3}$

The equation is

$y = \frac{5}{6} x + \frac{7}{3}$