Question

Mila reads at a rate of 3 paragraphs per minute.

After reading for 4 minutes, she had read a total of 12 paragraphs.

This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of paragraphs.

Use this information to complete each statement about the linear equation.


what is the slope?

A point on the graph of a linear equation will be

This linear equation can be written as

Answer 1

no of minutes = x

no of paragraphs = y

ATQ

2x = y

if x = 1 if x = 2 if x = 3

2 (1) = y 2(2) = y 2(3) = y

2 = y 4 = y 6 = y

(x,y) = (1, 2) (x, y) = (2, 4) (x, y) = (3, 6)

Answer 2

1) m=3 2) (4,12), (3,9), (2,6) 3)
`y=3x`

Explanation:

If Mila reads at a rate of 3 paragraphs per minute then we have a change for each x minutes: (4) | y paragraphs (12). So we can write The Point Slope formula for this question, like this:

`y-y_(0)=m(x-x_(0))\Rightarrow y-12=3(x-4)\Rightarrow y-12=3x-12\Rightarrow y=3x-12+12\Rightarrow y=3x`

1) What is the slope?

`m=3`

2) A point on the graph of a linear equation will be besides (4,12) (3,9), (2,6)

3)The linear function can be written as
`y=3x`