Step-by-step explanation:
An equation to keep in mind is y=mx+b
m= [tex]\frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex]
Any two coordinates would be good for this formula
For example you could use (2, -4) and (3, -7)
(3, -7) would be your second coordinate
(2, -4) would be your first coordinate
-7 = [tex]y_{2}[/tex]
3= [tex]x_{2}[/tex]
-4= [tex]y_{1}[/tex]
2= [tex]x_{1}[/tex]
Put the values into the formula and solve
[tex]\frac{-7-(-4)}{3-2}[/tex]= [tex]\frac{-7+4}{1}[/tex] = [tex]\frac{-3}{1}[/tex]= -3
m= -3
Now you have y=-3x +b
There are 2 ways to find b, but I will show the one that is the easiest to explain for me
1) substitute the x and y coordinates from one of the coordinates into the 'new' formula
I will be using the coordinate (2,-4)
y = -3x + b
-4 = - 3(2) +b
-4 = -6 +b
-4 +6 = -6 +6+b
2 = b
Your updated equation is y=-3x+2
The answer is the second option
I hope this helps!!!
