The slope is 1, so m = 1.
The given point is (x,y) = (1,5) which means x = 1 and y = 5 pair up together.
Plug the three pieces of info (m = 1, x = 1, y = 5) into the y = mx+b equation. Then solve for b
y = mx+b
y = 1*x + b ... replaced m with 1
5 = 1*1 + b .... replaced x with 1, replaced y with 5
5 = 1+b
1+b = 5
b+1 = 5
b+1-1 = 5-1
b = 4
Since m = 1 and b = 4, we know that y = mx+b turns into y = 1x+4 which simplifies to y = x+4
-----------------------------------------------------------------------------------
Answer: y = x+4
The answer is .6.............
Answer:
y = -1/3x + 2
Step-by-step explanation:
First, find the slope using rise over run: (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(3 - 5) / (-3 + 9)
-2 / 6
= -1/3
Plug in a given point and the slope into y = mx + b, and solve for b:
y = mx + b
3 = -1/3(-3) + b
3 = 1 + b
2 = b
Plug in the slope and y intercept into y = mx + b
y = -1/3x + 2
So, the equation is y = -1/3x + 2