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y = - 3x + 8

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 ) = (8, - 16) and (x₂, y₂ ) = (1, 5)

m = = = - 3 , thus

y = - 3x + c ← is the partial equation

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

Using (1, 5 ) , then

5 = - 3 + c ⇒ c = 5 + 3 = 8

y = - 3x + 8 ← equation of line

examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality

step-by-step explanation: