Question

Write an equation for a line in slope-intercept form that passes through the points (4, 9) and (6,-1).

Answer 1

Slope Intercept form is
\[y=mx+b\]

To find slope remember
\[m=(y_2-y_1)/(x_2-x_1)\]

with that in mind
\[m=-1-9/(6-4)\]
\[m=-5\]

Now plug in to solve to b.

\[9=(-5)(4)+b\]
\[29=b\]

So in conclusion....

\[y=-5x+29\]