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(06.04 MC)

A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1.The ordered pairs 0, 13 and 1, 11.5 and 1.5, 10.9 and 2, 10 and 3, 9 and 4, 8.5 and 5, 7 and 6, 5 and 7, 4 and 8, 3 and 9, 1, 9.8, 0.3 are shown on the graph. A straight line joins the ordered pairs 0, 13 and 10, 0.

What is the approximate equation of this line of best fit in slope-intercept form?

y = −13x + 13 over 10
y = negative 13 over 10x + 13
y = negative 10 over 13x + 13
y = −13x + 10 over 13

User Elsennov
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2 Answers

1 vote

Final answer:

The approximate equation of the line of best fit in slope-intercept form is y = -13/10x + 13.

Step-by-step explanation:

The equation of the line of best fit in slope-intercept form can be found by using the formula y = mx + b, where m represents the slope and b represents the y-intercept.

From the provided information, the line joins the ordered pairs (0, 13) and (10, 0). To find the slope, we can use the formula m = (y2 - y1) / (x2 - x1). Substituting the values, we get m = (0 - 13) / (10 - 0) = -13/10.

Since the line intersects the y-axis at the point (0, 13), we can determine the y-intercept b as 13.

Therefore, the approximate equation of this line of best fit in slope-intercept form is y = -13/10x + 13.

User RajenK
by
5.2k points
3 votes

Answer:

Y= -13/10x+13

Step-by-step explanation:

User Cercerilla
by
5.1k points