Write the slope intercept equation for given points (3,-1),(5,5)

Hi! The answer to your question is

Step-by-step explanation:

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y = 3x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (3, - 1) and (x₂, y₂ ) = (5, 5)

m = = = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (5, 5 ) , then

5 = 15 + c ⇒ c = 5 - 15 = - 10

y = 3x - 10 ← equation of line

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Step-by-step explanation:

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