Answer:
orange line y = 3x + 2
green line y = -x + 4
Step-by-step explanation:
slope intercept form - y = mx + b
where m = slope and b = y intercept
The slope is equal to change in y over change in x and the y intercept is simply the y value of the coordinate where the line passes the y axis.
For the orange line
The line passes the y axis at (0,2)
The y value of that coordinate is 2 which means that the y intercept (or b) is + 2
Looking at the line as y goes up 3 x goes up 1 so slope ( or m ) equals 3 over 1 or just 3
We then plug in the values of m and b into the slope intercept equation
The answer would be y = 3x + 2
For the green line
The line passes the y axis at (0,4)
The y value of that coordinate is 4 which means that the y intercept is 4
Looking at the line, as y goes up 1 x goes down 1 so the slope is equal to 1 over -1 or just -1
We then plug in the values of m and b into the slope intercept equation
the answer would be y = -x + 4
