Answer:
1. Y=2/3x+7
2. Y=2x-1
Explanation:
It a begins with y=mx+b, the equation of line,
m= slope
b= y-intercept (or in other words the value of y when x=0)
(y just stands for the value of y)
for example, let's use the equation for #1, y=2/3x+7. let's say our input, or x-value is 3, so it'll be
y=2/3(3)+7
y=2+7
y=9
so in coordinate form it would be (3,9)
in order to figure out how to find the equation of line for a problem like #2 it's a little different;
m= y2-y1/x2-x1
m= 5-3/3-1
m=2/1
m=2
so in order to do this you'll have to take the coordinate with the larger x-value and plug it into x2, and the y-value for x2 becomes y2, and the lower x-value becomes x1 and the y-value becomes y1. it may be hard to see on this but this is what it should look like on a piece of paper;
y2-y1
m= x2-x1
so just substract and simplify, it doesn't have to be a whole number, it can be a fraction as well.
now onto b;
you multiply the x-value giving to you (it has to be one of the coordinates given to you) by m,
2(2)=4
4+b=3 (the 3 is the y-value in the coordinate you chose)
-4 -4 (then substract 4 from both sides to isolate b)
b= -1
(if the number you got when you multiplied the x-value by m is equal to the y-value in that coordinate then there isnt a b so it'd be y=mx+0 but if you're doing this for a class your teacher might want you to include that +0 part)
so yeah that's it have a good day and good luck :D