Answer:
Y= 2x + 10
Y= 4/3 x + 7 2/3
For the first equation with points (3,-4) and m there are three values that we can plug into the equation y=mx + b to find the missing value in this situation, the y-intercept.
First, write the equation with the given values and you should have something like this:
-4 = 2(3) +b
The only value that hasn't been discovered yet is b so we solve the equation appropriately to get our value.
-4 = 6+ b
-10= b
And now that we know that the value of b is -10 we can plug -10 into the equation and get the equation Y= 2x + 10
Now for the second, we complete the same steps. We know that we have the points and the slope and subsequently plug it into the equation and receive our answer( for the y-intercept).
1= -5(4/3) +b
1= - 6 2/3 + b
7 2/3 = b
Once we see that the value of b is 7 2/3 we plug it into the equation and get Y= 4/3x + 7 2/3
Feel free to ask any questions and I am welcome to criticism