What is the slope of the line containing
the ordered pair (2, 3) and (-4,0)?

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jacobEwing jacobEwing · Answer 1 · 2021-01-20T08:39:09+01:00

Answer:

The slope of the line passing between these points is 1/2

Step-by-step explanation:

slope is equal to the difference vertically divided by the difference horizontally, moving left to right.

In this case, (2, 3) is further left, so we'll subtract (-4, 0) from that.

(2, 3) - (-4, 0) = (6, 3)

So we know the displacement is (6, 3) and we need simply delete dy by dx:

s = Δy/Δx

s = 3/6

s = 1/2

So we have a slope of one half, describing a line that moves up, left at a 45 degree angle from the horizontal.

jimrgrant1 jimrgrant1 · Answer 2 · 2021-01-20T08:39:27+01:00

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (- 4, 0)

m = [tex]\frac{0-3}{-4-2}[/tex] = [tex]\frac{-3}{-6}[/tex] = [tex]\frac{1}{2}[/tex]

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