Question

A line passes through the points (–6, 4) and (–2, 2). Which is the equation of the line?

Answer 1

Answer:

y=-1/2x+1

Step-by-step explanation:

We can use the points to find the slope of the line.

Equation: y₂-y₁/x₂-x₁

2-4/-2-(-6)

2-4/-2+6

-2/4

-1/2 is the slope of the line

So the equation is y=-1/2x+b

We can substitute one of the x-coordinates and the matching y-coordinate into this equation:

2=-1/2*(-2)+b

2=1+b

1=b

b=1

Therefore, the equation is y=-1/2x+1