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Quick algebra 1 question for 50 points!

Only answer if you know the answer, quick shout-out to Yeony2202, tysm for the help!

Quick algebra 1 question for 50 points Only answer if you know the answer quick shoutout to Yeony2202 tysm for the help class=

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fieryanswererft

Answer:

A) Equation of the line of best fit: y = -5x + 62

B) y = -3

Explanation:

Given points: {(5, 38), (6, 34), (7, 27), (8, 21), (9, 17), (10, 14)}

Plot these points on the graph and draw a straight line between them.

A)

The points (7, 27), (9, 17)

Find slope:

[tex]\sf slope: \dfrac{17-27}{9-7} = -5[/tex]

Equation:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]\sf y - 27= -5(x - 7)[/tex]

[tex]\sf y = -5x + 35 + 27[/tex]

[tex]\sf y = -5x + 62[/tex]

B) If x = 13, then approximate value of y is

insert x = 13 in equation

y = -5x + 62

y = -5(13) + 62

y = -3

Ver imagen fieryanswererft

The answers are :

A) y = -5x + 64

B) -1

Part (A) :

Finding the slope : Take the points (6, 34) and (10, 14)

m = Δy/Δx

m = 14 - 34 / 10 - 6

m = -20/4

* m = -5 *

Using point slope formula to find equation :

y - y₁ = m (x - x₁)

y - 34 = -5 (x - 6)

y - 34 = -5x + 30

y = -5x + 64

Part (B) :

Substitute x = 13 in the line of best fit equation

y = -5(13) + 64

y = -65 + 64

y = -1

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