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Write a linear equation based on the given information.


through: (5,-1) and (2,2)

User Kolslorr
by
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1 Answer

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Answer:

y = (-1/3)x + 2/3

Explanation:

We can use the slope-intercept form of a linear equation to find the equation of the line passing through the points (5, -1) and (2, 2). The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

slope = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the given points, we have:

slope = (2 - (-1)) / (2 - 5) = -1/3

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. We can use the point-slope form of a linear equation to find the y-intercept.

Using the point (5, -1), we have:

-1 = (-1/3)(5) + b

Solving for b, we get:

b = -1 + 5/3 = 2/3

Therefore, the equation of the line passing through the points (5, -1) and (2, 2) is:

y = (-1/3)x + 2/3

User Nitin
by
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