Which equation represents a line that has a slope of 1/3 and passes through point (-2, 1)?

1 answer:

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Considering the definition of a line, the equation of the line that passes through the point (-2, 1) and has a slope of 1/3 is y= 1/3x + 5/3.

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.
m is the slope.
b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

In this case, you know:

The line has a slope of 1/3.
The line passes through the point (-2, 1).

Substituting the value of the slope m, you get:

Replacing the value of the point in previous expression, the value of the ordinate to the origin b can be obtained:

1= 1/3× (-2) + b

1= - 2/3 + b

1 + 2/3= b

Finally, the equation of the line is y= 1/3x + 5/3.

Learn more about equation of a line:

brainly.com/question/20842634

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$\large \mathbb{PROBLEM:}$

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$\large \mathbb{SOLUTION:}$

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