Question

Please help. A line passes through the points (6,10) and (4,-2)

Answer 1

y = mx + b  

Where m = slope and b is the y intercept

Let's find the slope = change in y/change in x

m = (4-2)/(-6+2) = 2/-4 = -1/2

Now we have:

y = (-1/2)x + b

Now substitute point (-6,4)

4 = (-1/2)(-6) + b

4 = 3 + b

b = 1

 

So y = (-1/2)x + 1 is the equation.