Question

directions: write an equation for the line that satisfies each of the given conditions in the slope-intercept form (y=mx+b) and standard form (ax+by=c)

question: passes through (6,1) and (8,-5)

Answer 1

do you know how to find the slope? it is
\[m=\frac{y_2-y_1}{x_2-x_1}\]

Answer 2

in your case
\[m=\frac{1+5}{6-8}=\frac{6}{-2}=-3\]

Answer 3

then use
\[y-y_1=m(x-x_1)\] to get your answer