Question

Look at the scatterplot. Which of these equations is the best representation of the trend line?

y = -5x + 5
y = -5x - 5
y = 5x + 5
y = 5x - 5

Answer 1

The correct answer would be y = 5x + 5

You can determine this by observing where the line hits the y-axis. It hits at a positive 5, eliminating the second and last option.

Then to further narrow it down, pay attention to the direction of the slope. It is growing, going from 5 up. This means there is a positive slope. This eliminates option 1.

Hope that helps!

Answer 2

we can look at the trend line, find the slope.

let's start at the start of the line, (0, 5).

the line goes up 5 units and goes right 1 unit, so that means the slope is 5/1, or 5.

so you know the slope is 5x. now let's see the y-intercept, ask yourself this, where is the start of the line ? we already answered that: (0, 5). so the y-intercept is 5.

the equation should look like y = 5x + 5, so the answer is C