What is the equation of the line that goes through (4,7) and (10,10)?

Jan 20, 2017

$y = \frac{1}{2} x + 5$

Explanation:

$\left(10 , 10\right) - \left(4 , 7\right) = \left(6 , 3\right)$ so there is a rise of $3$ and a run of $6$

then $m = \frac{3}{6} = \frac{1}{2}$

then $m \left(4\right) = \frac{1}{2} \left(4\right) = 2$

since $7 = 2 + 5$

we have

$y = \frac{1}{2} x + 5$