Please help me and explain the answer
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Answer:
y = x - 2
Step-by-step explanation:
From the table, you can see that as x goes from 2 to 3, f(x) goes from 0 to 1. Thus, the slope is m = rise / run = 1/1 = 1.
Using the point (3,1) and the slope 1, write out the equation of the line as follows: y - 1 = 1(x - 3), or y = 1 + x -3, or y = x - 2.
Check: if x = 4, does y = 2? (4) - 2 = 2. YES
Hey there!
=> co-ordinates : (x,y)
=> slope = y₂-y₁/x₂-x₁
=> slope-intercept form: y = mx + b
... where 'm' is the slope and 'b' is the y-intercept.
First, let's find the slope.
In order to do that, we will have to take 2 co-ordinates.
I will take the first two.
... (2,0) and (3,1)
slope = 1-0/3-2 = 1/1 = 1
Hence, the slope is '1'
Now, we have..
... y = x + b
Let's take (2,0)
... 0 = 2 + b
... b = -2.
Hence, the final equation would be y = x - 2
The values which would go in each of the boxes is 1 and 2.
Hope my answer helps!