Question

What is the equation that best represents the trend line on the scatter plot?A. y= 10x + 5B. y= -10x + 5C. y= -2x + 5D. y= 2x + 5

Answer 1

The equation of a line in slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

`m=(y_2-y_1)/(x_2-x_1)`

From the graph, the trendline passes through the points (0, 5) and (1, 15), then its slope is:

`m=(15-5)/(1-0)=10`

The trendline intercepts the y-axis at y = 5, then b = 5

Substituting m = 10 and b = 5 into the equation, we get:

y = 10x + 5