Answer:
See Below:
Step-by-step explanation:
So, first of all. to find the equation of the line, the equation has to be in [tex]y=mx+b[/tex] form. In this for the following are:
- [tex]m[/tex] is the slope of the line
- [tex]b[/tex] is the y intercept
Solving
So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).
To solve for the slope, we can use rise over run to find the equation.
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Upon inserting our points into the equation, we get a slope of -1.
[tex]\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1[/tex]
Creating The Equation
To create the equation in [tex]y=mx+b[/tex] form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.
[tex]y=-1x-2[/tex]
We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.
We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.
Cheers!
