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POSL Test. LIE Equations Which lines in the graph have a slope greater than 1 but less than 2? y 19 8 17 1 2 3 4 5 6 A 5 4 х 2 3 4 5 6 7 8 9 line 1 line 2 line 3 line 4 linna

POSL Test LIE Equations Which lines in the graph have a slope greater than 1 but less than 2 y 19 8 17 1 2 3 4 5 6 A 5 4 х 2 3 4 5 6 7 8 9 line 1 line 2 line 3 class=

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Answer:

Line 3

Explanations:

The slope of a line is calculated as:

Slope = (y₁ ₂ - y1) / (x2 - x1)

Let us calculate the slopes of each of the lines to confirm which of them is greater than 1 but less than 2.

For line 1:

Consider the points (1, 3) and (2, 6)

Slope = (6-3)/(2-1) = 3

For line 2:

Consider the points (2, 4) and (3, 6)

Slope = (6-4)/(3-2) = 2

For line 3:

Consider the points (2, 3) and (4, 6)

Slope = (6-3)/(4-2) = 3/2 = 1.5

For line 4:

Consider the points (4, 5) and (5, 6)

Slope = (6-5)/(5-4) = 1

For line 5:

Consider the points (5, 5) and (6, 6)

Slope = (6-5)/(6-6) = 1/1 = 1

Only line 3 with a slope of 1.5 has a slope that is greater than 1 but less than 2

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