Question

Choose the equation that represents the line passing through the point (2,-4) with a slope of 1/2? y=1/2x+5, y=1/2x-3, y=1/2x-5, y=1/2x+3

Answer 1

Correct answer: y=1/2x-5

given: point = (2,-4)
slope = 1/2

Explanation: equation of line is: y = mx + c
where, m is the slope
c is the y-intercept

Now,
here, y = 1/2x + c
put, x = 2, y = -4
we get, -4 = (1/2).2 + c
or c = -4 - 1
or c = -5

Hence, equation of line is : y = 1/2x-5