# How do you find the slope given (7, 2) and (9, 6)?

Jun 14, 2018

$2$

#### Explanation:

Slope is given by the formula

$\frac{\Delta y}{\Delta x}$

Where $\Delta$ is the Greek letter Delta that means "change in". We just have to see how much our $y$ changes, how much our $x$ changes, and divide the two. We get

$\Delta y = 6 - 2 = \textcolor{b l u e}{4}$

$\Delta x = 9 - 7 = \textcolor{b l u e}{2}$

Plugging these into our expression for slope, we get

$\frac{4}{2} = 2$

Thus, our slope is $2$.

Hope this helps!

Jun 14, 2018

See a solution process below:

#### Explanation:

The formula for find the slope of a line is:

$m = \frac{\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}}{\textcolor{red}{{x}_{2}} - \textcolor{b l u e}{{x}_{1}}}$

Where $\left(\textcolor{b l u e}{{x}_{1}} , \textcolor{b l u e}{{y}_{1}}\right)$ and $\left(\textcolor{red}{{x}_{2}} , \textcolor{red}{{y}_{2}}\right)$ are two points on the line.

Substituting the values from the points in the problem gives:

$m = \frac{\textcolor{red}{6} - \textcolor{b l u e}{2}}{\textcolor{red}{9} - \textcolor{b l u e}{7}} = \frac{4}{2} = 2$

Jun 14, 2018

$\text{slope } = 2$

#### Explanation:

$\text{calculate the slope m using the "color(blue)"gradient formula}$

•color(white)(x)m=(y_2-y_1)/(x_2-x_1)

$\text{let "(x_1,y_1)=(7,2)" and } \left({x}_{2} , {y}_{2}\right) = \left(9 , 6\right)$

$m = \frac{6 - 2}{9 - 7} = \frac{4}{2} = 2$