The y-intercept of (2,5) and (4,4)

Mathematics

2 answers:

DerKrebs [107]3 years ago

7 0

The Y intersept is 1

wolverine [178]3 years ago

4 0

First let's find the slope of line joining (2, 5) and (4, 4)

Assuming points (x₁, y₁) and (x₂, y₂)

Slope = (y₂ - y₁) / (x₂ - x₁)

Slope = (4 - 5) / (4 -2) = -1/2 = -0.5

From equation of line: y = mx + c

y = -0.5x + c

Using the point (2 , 5) as passing through y = -0.5x + c

x = 2, y = 5

5 = -0.5*2 + c

5 = -1 + c

5 + 1 = c

6 = c

c = 6

Therefore the y-intercept which is c = 6

y-intercept = 6

Hope this explains it.

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