Question

Find the value of k so that the line passing through the given points has slope m. Write an equation of the line in point-slope form. (k,4k), (k+2,3k), m=-1

Answer 1

\[
\text{Slope = }\frac{y_2-y_1}{x_2-x_1} = \frac{3k-4k}{(k+2)-k} =
\frac{-k}{2} = -1\\
-k = -2 \\
k = 2 \\
\text{Points are: }(2,8); ~~(4,6) \\
\text{Equation in point-slope form is:} \\
y - y_1 = m(x - x_1) \\
y - 8 = -1(x - 2)
\]