Question

What is the linear function equation represented by the graph?

Answer 1

If you're talking about slope then it's y = -1/2x + 1

Explanation:

y=mx+b

mx is the slope and b is the y-intercept. You look on the y- axis and see it has crossed on 1. To find the slope you subtract y2-y1 over x2-x1 from any two coordinates. It would be 1/2, but since the line is decreasing that means the slope is also decreasing or a negative. So it would be y=-1/2x+1

Answer 2

Answer: y = (-1/2)x + 1 which is the same as y = -0.5x + 1

We'll use y = mx+b with m as the slope and b as the y intercept

The slope is m = -1/2 = -0.5 because we go down 1 each time we move to the right 2 units. We have rise = -1, run = 2, so slope = rise/run = -1/2 = -0.5.

The y intercept is where the line crosses the y axis, so b = 1

Use m = -1/2 and b = 1 to go from y = mx+b to y = (-1/2)x+1