Question

What is the point-slope form of a line that has a slope of į and passes through point (-7, 2)?

A. 2-4 = 1/2 (7-x)
B. 7-y-3-2-x)
C. y-7=3(x-2)
D. y-2-3(x-(-7)

Answer 1

The point-slope form of the line with a slope of 1/2 and passing through the point (-7, 2) is y - 2 = įx + 7/2 (option A).

Step-by-step explanation:

The point-slope form of a line is given by the equation y - y1 = m(x - x1), where (x1, y1) represents a point on the line and m represents the slope of the line. In this case, the slope is į (or 1/2) and the point is (-7, 2). Substituting the values into the equation, we get:

y - 2 = į(x + 7)

which simplifies to:

y - 2 = įx + į(7)

Therefore, the correct point-slope form of the line is: y - 2 = įx + 7/2 (option A).