Find the equation of a line which is form origin and passes through the point (−3, −4)
-
A.
y = ( frac{3x}{4} ) -
B.
y = ( frac{4x}{3} ) -
C.
y = ( frac{2x}{3} ) -
D.
y = ( frac{x}{2} )
Correct Answer: Option B
Explanation
The slope of the line from (0, 0) passing through (-3, -4) = (frac{-4 – 0}{-3 – 0})
= (frac{4}{3})
Equation of a line is given as (y = mx + b), where m = slope and b = intercept.
To get the value of b, we use a point on the line, say (0, 0).
(y = frac{4}{3} x + b)
(0 = frac{4}{3}(0) + b)
(b = 0)
The equation of the line is (y = frac{4}{3} x)
There is an explanation video available below.