Explanation:
We need 2 things in order to write slope-intercept equations: the slope, and the y-intercept. Remember that the form is
, where
is slope and
is y-intercept. All of the lines show the y-intercept, but not the slope. We can calculate slope using two points on the line and the slope equation,
.
1. Two points: (1,-3) and (0,4)
![m=(4-(-3))/(0-1)=(7)/(-1)=-7](https://img.qammunity.org/2021/formulas/mathematics/college/2nn26f6v6inbhin1br10u40dmk2m2tnlgd.png)
So the equation would be:
![y=-7x+4](https://img.qammunity.org/2021/formulas/mathematics/college/ut2c60xhpwo27blf7bs0kw8m6qf6ur9sjy.png)
2. Points: (-1,-2) and (0,1)
![m=(1-(-2))/(0-(-1))=(3)/(1)=3](https://img.qammunity.org/2021/formulas/mathematics/college/m3x40yy3gg4byq5b7ifwak1bz3a728zave.png)
Equation:
![y=3x+1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/tfxha45v9svzb8qk1fgt0itvqcri55a2ue.png)
3. Points: (0,5) and (-2,4)
![m=(4-5)/(-2-0)=(-1)/(-2) =(1)/(2)](https://img.qammunity.org/2021/formulas/mathematics/college/5jd28rj7gn9ldwmco77ispvqc35jvxtbjg.png)
Equation:
![y=(1)/(2)x+5](https://img.qammunity.org/2021/formulas/mathematics/high-school/osozxv1sirertxz6mfdcw0wwe9k4m7hl6q.png)
4. Points: (0,-2) and (-4,1)
![m=(1-(-2))/(-4-0)=(3)/(-4)=-(3)/(4)](https://img.qammunity.org/2021/formulas/mathematics/college/xezdp2xsq2p2c7hvya74lzkbq95zkahlo6.png)
Equation:
![y=-(3)/(4)x-2](https://img.qammunity.org/2021/formulas/mathematics/college/d43fet8iksxhyxo2slu7iedt3gib8g4mlx.png)
Hope this helps!