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

A) y = 3x - 5
B) y = 2x + 4
C) y = 3x + 7
D) y = 4x - 3

User Joaerl
by
7.8k points

2 Answers

6 votes

Final answer:

The equation that represents a line with a slope of 3 and passes through the point (-2, 1) is y = 3x + 7.

Step-by-step explanation:

The equation that represents a line with a slope of 3 and passes through the point (-2, 1) is y = 3x + 7.

To find the equation, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Plugging in the values (-2, 1) for (x1, y1) and 3 for the slope, we get y - 1 = 3(x - (-2)).

Simplifying the equation gives us y - 1 = 3x + 6. Moving the -1 to the right side of the equation gives us y = 3x + 7, which is the equation of the line.

User Jongz Puangput
by
8.4k points
4 votes

Answer:

The correct answer is C.

User Kapil Parmar
by
9.1k points

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