Using the coordinates given, we can calculate the slope of the line.
Slope (m) = (y2 - y1)/(x2 - x1) = (0 - 45)/(4.5 - 0) = -10
Now we can use the point-slope form of the equation of a line to find the equation of the trend line, using any point on the line (such as (0, 45)).
y - y1 = m(x - x1)
y - 45 = -10(x - 0)
y - 45 = -10x
y = -10x + 45
Therefore, the equation in slope-intercept form of the trend line is:
y = -10x + 45
Use the image to answer the question.
An illustration of a scatterplot graph shows x-axis ranging from 0 to 10 in increments of 1 and y-axis ranging from 0 to 50 in increments of 10. Multiple points are plotted around a line that points downward to the right with an arrowhead on the bottom. The line passes approximately through left parenthesis 0 comma 45 right parenthesis, left parenthesis 2 comma 25 right parenthesis, left parenthesis 3 comma 15 right parenthesis, and left parenthesis 4.5 comma 0 right parenthesis. 13 points are plotted close to the line.
Write an equation in slope-intercept form of the trend line.
(1 point)
y=
1 answer
1 answer