# If the given slope between (2,7) and (3, g) is 15, what must g be?

Dec 12, 2016

$g = 22$

#### Explanation:

gradient is the change in the y-coords divided by the change in x-coords.

i.e. for $\text{ } \left({x}_{1} , {y}_{1}\right) , \left({x}_{2} , {y}_{2}\right)$

gradient $\text{ } m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

in this case

$15 = \frac{g - 7}{3 - 2}$

now we solve for ""g

$15 = \frac{g - 7}{1}$

$\implies g - 7 = 15$

$\therefore g = 22$