Answer:
1. [tex]y=6x-23[/tex]
2. [tex]y=-5x+27[/tex]
3. [tex]y=-\frac{1}{2}x-2[/tex]
4. [tex]y=-1[/tex]
Step-by-step explanation:
- The equation of the line is:
[tex]y=mx+b[/tex]
Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
- You have to find the y-intercept [tex]b[/tex], so, you must substitute the given point and the slope into each equation and solve for [tex]b[/tex], and then you must rewrite the equation of the line with the slope and the y-intercept calculated:
1. [tex]1=6(4)+b\\ b=-23\\ y=6x-23[/tex]
2. [tex]-3=-5(6)+b\\ b=27\\ y=-5x+27[/tex]
3. [tex]2=-\frac{1}{2}(-8)+b\\b=-2\\ y=-\frac{1}{2}x-2[/tex]
4. [tex]-1=0(-7)+b\\ b=-1\\ y=0x-1\\ y=-1[/tex]
