Question

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)
Responses

y=−14x
y equals negative Start Fraction 1 over 4 End Fraction x

y=−58x+9
y equals negative Start Fraction 5 over 8 End Fraction x plus 9

y=−14x+9
y equals negative Start Fraction 1 over 4 End Fraction x plus 9

y=1x+9
y equals 1 x plus 9
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Answer 1

as a fraction

Answer 2

To write the equation of the trend line in slope-intercept form, we need to calculate the slope and the y-intercept.

First, we can find two points on the trend line: (0, 9) and (10, 6.5).

Slope (m) = (6.5 - 9) / (10 - 0) = -2.5 / 10 = -0.25

Then, using the point-slope form of a linear equation:
y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Let's use the point (0, 9):
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.

The correct answer is:
y = -0.25x + 9

Answer 3

y = -1/4x + 9