Question

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

Answer 1

the formula says:
for a line passing through the point (a,b) and having slope m, its equation is of the form
y-b=m(x-a)

here a=1 , b=-4 & m=1/2

can you replace them ?

Answer 2

Well, you use the formula y2-y1=M(x2-x1).
You've got the points (1, -4), which we'll consider (x1, Y1), and a slope of 1/2, which is M.
You simply plug them into the previous formula:
y-(-4)=1/2(x-1)

Answer 3

thank you guys. I think i've got it (: