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Sophiashahan50go
Answered

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.

Months, m Plant height in inches, n
0 2
2 4
4 6
6 8
What are the slope and y-intercept of the line?

Question 1 options:

Slope = -2, y-Intercept = -4


Slope = 1, y-Intercept = 2


Slope = -1, y-Intercept = 2


Slope = 2, y-Intercept = -4

Answer :

Raphealnwobigo

The slope of the line is 1 and the y intercept is 2.

The linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept

Let n represent the number of inches a plant grows after m months.

Taking two points (0, 2) and (6, 8), the equation is given by:

[tex]n-n_1=\frac{n_2-n_1}{m_2-m_!} (m-m_1)\\\\n-2=\frac{8-2}{6-0}(m-0) \\\\n=m+2[/tex]

Therefore the slope of the line is 1 and the y intercept is 2.

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