Question

The scatter plot shows the total number of songs downloaded on a popular music service.

A scatterplot with a line of best fit drawn in. Years after 2009 are plotted on the x axis and songs in billions are plotted on the y axis. The line of best fit passes through the points zero comma 5 and 3 comma 20.

What is the equation of the linear model using two points on the line?
y = x + 10
y = 5x + 5
y = 10x + 1
y = 8x + 2

Answer 1

y = 5x + 5

Explanation:

passes through these lines (0, 5) and (3, 20)

Having these points, it should help you a lot then check the multiple question if one equation has a y-intercept of 5

If not, you can also use the equation to find the slope.

m = (y2 - y1) / (x2 - x1), rise / run

m = (20 - 5) / (3 - 0)

m = 15 / 3

m = 5

then, to find the y-intercept use y = mx + b

y = 5x + b then use any points that are given as such (0, 5)

5 = 5(0) + b

5 = b

Overall, it is y = 5x + 5

Answer 2

y = 5x + 5.

Explanation:

To find the equation of the line of best fit using two points, we need to first determine the slope of the line. The slope, denoted by "m", can be calculated as:m = (y2 - y1) / (x2 - x1)where (x1, y1) = (0, 5) and (x2, y2) = (3, 20) are the two points on the line of best fit.Substituting these values into the formula, we get:m = (20 - 5) / (3 - 0) = 15 / 3 = 5Therefore, the slope of the line of best fit is 5.To find the y-intercept, denoted by "b", we can use the point-slope form of the equation of a line, which is:y - y1 = m(x - x1)Substituting the values of m, x1, and y1, we get:y - 5 = 5(x - 0)y - 5 = 5xy = 5x + 5Therefore, the equation of the linear model using two points on the line is

y = 5x + 5.