# Question #7ebee

Apr 27, 2017

The equation would be $y = - \frac{7}{6} x + \frac{7}{2}$ . graph{-7/6x+7/2 [-10, 10, -5, 5]}

#### Explanation:

The expectation is to use these two points to create and equation in Slope-Intercept form:

$y = m x + b$

The Slope of a line can be determined by the equation:

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

In this case, you would use the ordered pair of your $y$-intercept as $\left({x}_{1} , {y}_{1}\right)$, and the ordered pair of your $x$-intercept as $\left({x}_{2} , {y}_{2}\right)$ in the above formula to find the slope.

$m = \frac{0 - \frac{7}{2}}{3 - 0} = \frac{- \frac{7}{2}}{3} = - \frac{7}{2} / \frac{6}{2} \rightarrow - \frac{7}{2} \cdot \frac{2}{6} = - \frac{14}{12}$
$\downarrow$
$m = - \frac{7}{6}$

Then knowing the $y$-intercept, $\left(b\right)$, you can make the equation: $y = - \frac{7}{6} x + \frac{7}{2}$