Question

This table represents the number of inches, n, a plant grows after m, months in a new pot.

When graphed, all of the points in the table lie on the same line.

What is the slope and y-intercept of the line?


slope=−54, y-intercept = 2

slope=45, y-intercept=−1.6

slope=−45, y-intercept=−1.6

slope=54, y-intercept = 2
Months, m Plant height in inches, n
0 2
2 4.5
4 7
6 9.5

Answer 1

d

Explanation:

I took the k12 test

Answer 2

Answer: Slope = 5/4

y-intercept = 2

Explanation:

We have the table:

Months, m Plant height in inches, n

0 2

2 4.5

4 7

6 9.5

We want a linear relationship to represent this table.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case we can select any pair of points, for example, i will choose the first two:

(0, 2) and (2, 4.5)

Then the slope is:

a = (4.5 - 2)/(2 - 0) = (2.5/2) = 1.25 = 5/4

Then our line can be written as:

y = (5/4)*x + b

To find the value of b, we can replace the values of any of the points in the equation, for example, i will use the point (0, 2) or x = 0, y = 2.

2 = (5/4)*0 + b

2 = b

Then our equation is:

y = (5/4)*x + 2.

Slope = 5/4

y-intercept = 2