Question

Which graph represents the function y = x – 2?

Answer 1

Create a point at (0, -2) and (5, 3) then draw a line that connects and extends beyond these two points.

Explanation:

y = mx + b

m = slope which is rise over run

b = y intercept

y = x - 2 actually means y = 1x - 2

m = 1

b = -2

The y intercept of your graph is (0, -2) and your slope is 1 - so from the y intercept move up 1 (for the purpose of graphing move up 5) and to the right 1 (for the purpose of graphing move right 5) to the point (1, -1) or (5, 3) Just be sure to move up and to the right the same number of places and create a point. Then draw a line connecting and extending beyond these two points.

Answer 2

The graph that represents the function is attached

Features of the graph

The graph is written in slope intercept form (that is y = mx + c)

Where

m is slope

c is the y-intercept

Comparing with the equation y = x - 2 we can see that, the slope of the line is 1 and the y-intercept is -2