# Question #b6926

Sep 17, 2016

$y = \frac{6}{7} x - 6$

#### Explanation:

First of all, you know that the x-intercept is $7$ and the y-intercept is $- 6$. In addition, by knowing this you can now figure out the equation of this line.

Furthermore, you now have two points you can work with ($7 , 0$ and $0 , - 6$). To add on, as your next step you will have to find the slope of the line which you can figure out by finding the rise over the run;$\frac{{y}^{2} - {y}^{1}}{{x}^{2} - {x}^{1}}$

Therefore, your ${y}^{2}$ would be $0$ (which comes from the point $7 , 0$) and your ${y}^{1}$ would be $- 6$ (which comes from the point $0 , - 6$), thus when you subtract $- 6$ from $0$ you get a result of $+ 6$.

In addition, your ${x}^{2}$ would be $7$ (which comes from the point $7 , 0$) and your ${x}^{1}$ would be $0$ (which come from the point $0 , - 6$), thus when you subtract $0$ from $7$ you get $7$.

So, now that you have the numbers $6$ and $7$ all you have to do is divide them so that you get the fraction $\frac{6}{7}$. In continuation, from this you can now write the equation of the line which would be $\frac{6}{7} x$(the slope) minus $6$ (which is the y-intercept).

This is a demonstration of how the graph would look like;
graph{6/7x-6 [-7.65, 12.35, -8.15, 1.85]}
$\frac{6}{7} x - 6$