use the image to answer the question write an equation in slope-intercept form of the trend line 70, 10 60, 7 55, 5 35, 2 30, 1

Answer 1

To find the slope and y-intercept of the trend line, we need to calculate the slope first. The formula for slope is given by:

slope (m) = (y2 - y1) / (x2 - x1)

Let's pick the points (30, 1) and (70, 10) to calculate the slope:

m = (10 - 1) / (70 - 30)
m = 9 / 40
m = 0.225

Now that we have the slope, we can use the point-slope form of a linear equation to write the equation in slope-intercept form:

y - y1 = m(x - x1)

Using the point (70, 10) and the slope 0.225:

y - 10 = 0.225(x - 70)

Simplifying:

y - 10 = 0.225x - 15.75

y = 0.225x - 5.75

Therefore, the equation in slope-intercept form of the trend line is y = 0.225x - 5.75.