Question

What is the equation in slope-intercept form for this trend line?

A graph shows a straight orange line starting at 25 and increasing by one every x value. There are points in the (x, y) format, (1, 30) (2, 35) (5, 55) (8, 60) (10, 70

(1 point)
Responses

y = 25x + 5
y = 25x + 5

y = 5x + 25
y = 5x + 25

y= 1/5x + 25
y= 1/5x + 25

y = -25x + 5

Answer 1

To find the equation of the trend line in slope-intercept form (y = mx + b), we need to determine the slope (m) and the y-intercept (b).

From the information given in the problem, it states that the line "starts at 25 and increases by one every x value." This suggests that the y-intercept (b) is 25 and that the slope (m) is 5, as the y value increases by 5 for every increase of 1 in the x value.

To confirm this, we can look at the points given:

- From (1, 30) to (2, 35) = increase of 5 in y (from 30 to 35) corresponds to an increase of 1 in x (from 1 to 2).
- From (2, 35) to (5, 55) = increase of 20 in y (from 35 to 55) corresponds to an increase of 3 in x (from 2 to 5) = 20/3 = approximately 6.67.
- The overall trend suggests a consistent slope when averaged out.

However, we notice the first two points indicate that the slope might be around 5 if we only consider the first pair (from 30 to 35 for x 1 to 2).

Thus, the slope (m) should be calculated through the change in y for a corresponding change in x.

Let's assume the slope is indeed 5, leading to:

y = mx + b
y = 5x + 25

So, the correct response is:

**y = 5x + 25**.