Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
Finding the slope:
Use this...
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Plug in what you know...
[tex]y_{2} =-5\\y_{1}=7\\x_{2} =0\\x_{1}=2[/tex]
Now solve...
[tex]\frac{-5-7}{0-2}=\frac{-12}{-2} =6[/tex]
So the slope is 6.
Finding the y-intercept:
Use this...
[tex]y=mx+b[/tex]
Plug in what you know...
(2,7) (I'll be using this pair but you can choose the other one)
[tex]y = 7\\x = 2\\m = 6[/tex]
Now solve...
[tex]7=6(2)+b\\7=12+b\\b=-5[/tex]
Writing the equation:
Use this...
[tex]y=mx+b[/tex]
Plug in what you know...
[tex]m=6\\b=-5[/tex]
Now write it out...
[tex]y=6x-5[/tex]
That's it
