Question

Which set of parametric equations describes a line that passes through the points (0,0) and (4,8) ?

Answer 1

Answer:

The correct option is A)

Step-by-step explanation:

To find the correct equation we first need to calculate the angular coefficient for the line, with the formula below:

m = (y2 - y1)/(x2 - x1)

m = (8 - 0)/(4 - 0) = 8/4 = 2

Using that we can apply to the equation of the line:

y = m*x + c

Since the line pass through (0,0) c must be equal to 0, so:

y = m*x

y = 2*x

So x must be:

x = t.