Question

Select the equation that represents a line with a slope of 2 and that contains the point (1, -5).

A. y - 5 = 2(x + 1)

B. y + 5 = 2(x - 1)

C. x + 5 = 2(y - 1)

D. x - 5 = 2(y + 1)

Answer 1

To get the equation of a line, you can use the following:

y - y1 = m (x - x1)

Where:

• m is the slope (2)
• y1 is the y coordinate of a point (1, -5)
• x1 is the x coordinate of the same point (1, -5)

Just substitute in the values:

y - y1 = m (x - x1)

y - (-5) = 2(x - 1) ( - - 5 = + 5 )

y + 5 = 2(x - 1)

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Answer:

B. y + 5 = 2(x - 1)