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Find the gradients of lines A and B

Find The Gradients Of Lines A And B class=

Sagot :

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Answer:

blue line: y = x + 2  ||      green line: y = -2x+3

Step-by-step explanation:

For blue line:

take two coordinates: (0,2),(1,3)

slope:

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{3-2}{1-0}[/tex]

[tex]1[/tex]

equation:

y - y1 = m(x - x1)

y - 2 = 1(x - 0)

y = x + 2

For green line:

take two coordinates: (0,3),(2,-1)

slope:

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{-1-3}{2-0}[/tex]

[tex]-2[/tex]

equation:

y - y1 = m(x - x1)

y - 3 = -2(x-0)

y = -2x+3

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