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Please help me and explain the answer

Please help me and explain the answer-example-1
User RhymeGuy
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2 Answers

5 votes

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!


User Jon Skeet
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6.3k points
1 vote

Answer:

y = x - 2

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

User Deadbeef
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5.8k points