Question

Which equation represents the line shown on the graph?

1. y=x+2
2. y=-2x
3. y=2x
4. y=-x+2​

Answer 1

4

Explanation:

Recall that the equation for a straight line is y = mx + b, where m is the slope and b is the y-intercept.

we can see that the slope is negative (i.e graph goes from top left to bottom right). hence the value for m must be negative.

By looking at the answer choices, only 2 and 4 have negative x-terms, hence we can ignore 1 and 3.

Also we notice that the graph intersects the y-axis at y = 2, hence the y-intercept must be 2.

Only Answer 4 satisfies both requirements and is the correct answer.

Answer 2

The equation is 4 because the slope is -1 and the y intercept is 2