Question

Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 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.

Answer 1

Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 paragraphs.

This situation can be represented with a linear equation written in point-slope form,

Let 'x' represents the number of minutes and,

y represents the number of paragraphs.

In one minute Mila reads 2 paragraphs .

So, y=2x

Let x=1 then y=2

x=2 then y =4

Here slope of equation is 2

Let( x1, y1) and (x2,y2) be the two point the equation y=2x the ,

we can write, (y2 - y1) = m(x2 - x1)

or (y2 - y1) = 2(x2 - x1)

Answer 2

(3,6)

Explanation:

Given that Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 paragraphs.

This situation can be represented with a linear equation written in slope-intercept form, as

`y=2x`

where 'x' represents the number of minutes and,

y represents the number of paragraphs.

Since y intercept is 0 i.e. 0 paras in 0 minutes we have the equation as

`y=2x`

Since no of minutes or paragraphs cannot take negative values this line is defined only in the I quadrant where both x and y are positive

Out of the points given as follows:

(3,6) (2,3) (-3,6) or (-2,6) ,

we can remove last two since they have negative x which is impossible.

Consider (3,6) (2,3)

Out of these only I point (3,6) satisfies
`y=2x` and second point (2,3) does not satisfy

`y=2x`

Hence answer is (3,6)