Question

The formula is: Y= mx+b

Answer 1

                            Question 1

Answer:

The graph is showing the story.

Step-by-step 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:

• $y=\:3x+13$

Step-by-step explanation:

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

$y=\:mx+b$

Taking any two points

(1, 16)

(2, 19)

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

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

$m=\frac{19-16}{2-1}$

$m=3$

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:

• $y=\:3x+13$