Question

choose the equation below that represents the line passing through the point (1,-4) with a slope of 1/2

Answer 1

given a point (a, b) and slope m
y - b = m (x - a)
is the required equation

Answer 2

ok so can you help me solve it

Answer 3

(a, b) = (1, -4) and m = 1/2
so put these values in the above equation and tell what you get?

Answer 4

so i got to here now im stuck i don't know if its right?
y=1/2x + 3?

Answer 5

well i think something`s wrong
can you show your working ?

Answer 6

ok
y- b =m(x-a)
m = 1/2 points (1,-4)
y-4= 1/2(x-1)
+4 +1
-------------
y = 1/2x + -3?

Answer 7

you did it wrong from substituting the values
y - (-4) = (1/2)(x-1)
y + 4 = (1/2) (x-1)
for simplification multiplying both sides by 2
2(y+4) = x-1
2y + 8 = x-1
0 = x-1 - 2y -8
x-2y - 9 = 0 is required equation

Answer 8

some times you want it in this form
y = 1/2(x-9) (i.e y = mx + c)