Question

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

a. y-2 = 3(x + 5)
b. y-3 = 2(x + )
c. y+ 1/2= 3(x - 2)
d. y+ 1/2= 2(x – 3)

Answer 1

The equation that represents a line passing through the point (2, -1/2) and has a slope of 3 is y + 1/2 = 3(x - 2) (option c).

Step-by-step explanation:

The equation that represents a line passing through the point (2, -1/2) and has a slope of 3 is y + 1/2 = 3(x - 2) (option c).

To find the equation of a line given a point and the slope, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Plugging in the values, we get: y + 1/2 = 3(x - 2). This equation represents the line that passes through the point (2, -1/2) with a slope of 3.