Question

Write the equation of the line that passes through the points (6,2) (4,1)

Answer 1

Answer: y=1/2x-1

Explanation:

To find the equation of the line that passes through the points, we need to find out slope, m.

`m=(y_(2) -y_(1) )/(x_(2)-x_(1) )`

We plug our points into this formula to find slope.

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

Our slope is 1/2. To find our y-intercept, b, we would plug any point into the equation for slope-intercept form.

y=mx+b

y=1/2x+b

1=1/2(4)+b

1=2+b

b=-1

Now that we know b, our equation is y=1/2x-1.