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Using the ordered pair (-3,1) in the given graph, write the equation of a line in Point-Slope Form:

a) y = 3x - 10
b) y = -3x - 10
c) y = 3x + 10
d) y = -3x + 10

User Dbrumann
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Final answer:

The correct equation of the line in point-slope form using the ordered pair (-3,1) and a given slope of 3 is y = 3x + 10.

Step-by-step explanation:

To write the equation of a line in point-slope form using the ordered pair (-3,1), we need to substitute this point into the point-slope equation, which is y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Based on the information given, the slope of the line is 3, as it rises 3 units on the vertical axis for every 1 unit it moves along the horizontal axis.

The equation in point-slope form that corresponds to the ordered pair (-3,1) and has a slope of 3 is y - 1 = 3(x + 3), which simplifies to y = 3x + 10.

This matches option d) y = -3x + 10, which must be an error in the question as it contradicts the given positive slope. The correct answer, reflecting the given slope, is y = 3x + 10.

User Laurence Rowe
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