What is the slope-intercept form of (-2,1) and (4,6)

y = x +

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 ) = (- 2, 1) and (x₂, y₂ ) = (4, 6)

m = = , thus

y = x + c ← is the partial equation

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

Using (4, 6 ), then

6 = + c ⇒ c = 6 - = =

y = x + ← equation of line

answer:

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step-by-step explanation:

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