Question

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 10 in increments of 1. 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 9 right parenthesis, left parenthesis 4 comma 8 right parenthesis, left parenthesis 8 comma 7 right parenthesis, and left parenthesis 10 comma 6.5 right parenthesis. 12 points are plotted close to the line.Write an equation in slope-intercept form of the trend line.(1 point)Responsesy=−14xy equals negative Start Fraction 1 over 4 End Fraction xy=−58x+9y equals negative Start Fraction 5 over 8 End Fraction x plus 9y=−14x+9y equals negative Start Fraction 1 over 4 End Fraction x plus 9y=1x+9y equals 1 x plus 9Skip to navigation

Answer 1

[AI-generated answer — Bot GPT 3.5]

y=-0.5x+9

Answer 2

not an option

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake. Let's calculate the slope of the trend line passing through the given points:

Slope = (y2 - y1) / (x2 - x1)
Slope = (6.5 - 9) / (10 - 0)
Slope = -2.5 / 10
Slope = -0.25

Now, we can use the point-slope form of the equation of a line to find the equation of the trend line. Let's use the point (0, 9) on the line:

y - y1 = m(x - x1)
y - 9 = -0.25(x - 0)
y - 9 = -0.25x
y = -0.25x + 9

Therefore, the equation of the trend line in slope-intercept form is: y = -0.25x + 9