Question

The formula is:
Y= mx+b

Answer 1

Question 1

Answer:

The graph is showing the story.

Explanation:

Victoria is on the 13th page of the book, she reads 3 pages after every next hour.

After 1st hour she has read = 13 + 3 = 16

As she reads 3 pages after every next hour.

so

After 2nd hour she has read = 16 + 3 = 19

After 3rd hour she has read = 19 + 3 = 22

After 4th hour she has read = 22 + 3 = 25

After 5th hour she has read = 25 + 3 = 28

So the graph is showing this phenomena.

Question 2

Answer:

The equation that would generate this graph and table would be:

• 
  `y=\:3x+13`

Explanation:

Given the slope-intercept form of the equation of the line

`y=\:mx+b`

Taking any two points

(1, 16)

(2, 19)

`\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(1,\:16\right),\:\left(x_2,\:y_2\right)=\left(2,\:19\right)`

`m=(19-16)/(2-1)`

`m=3`

Plugging any point, let say (1, 16), and m = 3 in the slope-intercept form to find the value of b (y-intercept).

`y=\:mx+b`

`16=\:3\left(1\right)+b`

`\mathrm{Switch\:sides}`

`3\left(1\right)+b=16`

`\mathrm{Remove\:parentheses}:\quad \left(a\right)=a`

`3\cdot \:1+b=16`

`\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=3`

`3+b=16`

`\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}`

`3+b-3=16-3`

`b=13`

Thus the equation that would generate this graph and table is:

`y=\:mx+b`

• m = 3

• b = 13

`y=\:3x+13`

Therefore, the equation that would generate this graph and table would be:

• 
  `y=\:3x+13`