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This table represents the number of inches, and, if it goes after him, month and a new pot. When graft, all the points in the table lie on the same line. What are the slope and y-intercept of the line? A) slope = 2, y-intercept = -4. B) slope = 1, y-intercept = 2. C) slope = -2, y-intercept = -4. D) slope = -1, y-intercept = 2

This Table Represents The Number Of Inches And If It Goes After Him Month And A New Pot When Graft All The Points In The Table Lie On The Same Line What Are The class=

Sagot :

thomaskenzie13

Answer:

r: Slope = 5/4

y-intercept = 2

Step-by-step 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

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