Write the equation of the line that passes through (1,8) and (3, 3). Write it in slope-intercept form.

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 ) = (1, 8) and (x₂, y₂ ) = (3, 3)

m = = - , thus

y = - x + c ← is the partial equation

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

Using (1, 8), then

8 = - + c ⇒ c = 8 + =

y = - x + ← equation of line

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