# What is the slope-intercept form of the line passing through (6, 1)  and  (4, 5) ?

Mar 21, 2018

$y = - 2 x + 13$

#### Explanation:

Slope-intercept form: y=mx+b, where m is the slope and b is the y-intercept

Finding the slope using 2 points:

$\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} \rightarrow$ Divide the difference of the y coordinates by the difference of the x coordinates

$\frac{5 - 1}{4 - 6}$

$\frac{4}{-} 2$

$- 2 \rightarrow$ This is the slope.

Our equation is currently $y = - 2 x + b$

To find b, let's plug in one of the coordinates.

$1 = - 2 \cdot 6 + b$

$1 = - 12 + b$

$b = 13$

Our equation is: $y = - 2 x + 13$