Answer: y=1/2x-1
Step-by-step explanation:
To find the equation of the line that passes through the points, we need to find out slope, m.
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
We plug our points into this formula to find slope.
[tex]m=\frac{1-2}{4-6} =\frac{-1}{-2} =\frac{1}{2}[/tex]
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.
