Question

(03.06) 5.)Choose the point-slope form of the equation below that represents the line that passes through the point (6, -3) and has a slope of 1/2OPTIONS: A.) y-6 = 1/2(x+3)B.) y = 1/2x - 6C.) y+3 = 1/2(x-6)D.) y-2y = 12I NEED THIS DONE ASAP!

Answer 1

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

A linear equation can have the form

y = mx + b

The slope is m

The point-slope form is

(y- y1) = m(x -x1) (1)

the point (x1, y1) = (6, -3)

______________

Replacing in (1) the slope and the point (x1, y1)

(y- y1) = m(x -x1)

(y- (-3)) = 1/2(x -6)

y+3 = 1/2(x-6)

__________________

So, checking the options the correct answer is C

A.) y-6 = 1/2(x+3)

B.) y = 1/2x - 6

C.) y+3 = 1/2(x-6)

D.) y-2y = 12