Question

write the following equation in slope intercept form or point-slope form. the line through the points (2,4) and (4,-5)

Answer 1

sure. first find the slope using
\[m=\frac{y_2-y_1}{x_2-x_1}\]
you get
\[\frac{-5-4}{4-2}=\frac{-9}{2}\]

Answer 2

then use the point- slope formula
\[y-y_1=m(x-x_1)\] with
\[m=-\frac{9}{2},x_1=2,y_1=4\] to get
\[y-4=-\frac{9}{2}(x-2)\]
\[y-4=-\frac{9}{2}x+9\]
\[y=-\frac{9}{2}x+13\]