Question

Choose the equation that represents the line that passes through the point (6,-3) and has a slope of 1/2.

A) y= 1/2x+6
B) y= 1/2x-6
C) y= 1/2x-3
S) y= 1/2x+-3

Answer 1

The equation that represents the line that passes through the point (6,-3) and has a slope of 1/2 is y = 1/2x - 6.

Step-by-step explanation:

To find the equation of the line that passes through the point (6,-3) and has a slope of 1/2, we can use the point-slope form of a linear equation: y - y1 = m(x - x1). Here, (x1, y1) = (6,-3) and m = 1/2. Substituting these values, we get: y - (-3) = 1/2(x - 6). Simplifying, we have y + 3 = 1/2x - 3. Rearranging the equation, we get y = 1/2x - 6.

Therefore, the equation that represents the line is y = 1/2x - 6 (option B).