Question

What is the equation of the following line? Be sure to scroll down first to see all answers options

Answer 1

C. y = -1/2 x

Explanation:

Slope = (-2 - 0)/(4 - 0) = -1/2, b = 0

So

y = -1/2 x

Answer 2

C

Explanation:

By observation, we can see that the slope of the graph is negative (i.e the graph goes from top left to bottom right) hence the number attached to the x-term must be negative. We can see that E and F have positive x-terms, hence these cannot be correct.

Now we are left with A, B, C, D as possible choices.

you are given that point (4, -2) is on the line, hence when x = 4, y must = -2.

Use this knowledge to test each of A, B, C, D to see which one gives y = -2 when we try x = 4

When x = 4

A) -
`(1)/(4)` (4) = -1 ≠ -2 (wrong)

B) -2 (4) = -8 ≠ -2 (wrong)

C) -
`(1)/(2)`(4) = -2 (correct)

D) -4(4) = -16 ≠ -2 (wrong)