Question

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

y – 2 = 3(x + )
y – 3 = 2(x + )
y + = 3(x – 2)
y + = 2(x – 3)

Answer 1

The equation that represents a line passing through (2, -2) with a slope of 3 is y + 2 = 3(x - 2).

Step-by-step explanation:

The equation that represents a line passing through (2, -2) with a slope of 3 is: y - (-2) = 3(x - 2).

This equation can be simplified to y + 2 = 3(x - 2), which is option C.

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

Answer 2

y - (-1/2) = 3(x - 2)
y + 1/2 = 3(x - 2)