Write an equation in slope-intercept form for a line that passes through the points (2, -4) and (8,-1).

y=(1/2)x+4

Step-by-step explanation:

you have 2 points but in order to find slope intercept you need slope so,

(y2-y1)/(x2-x1)

(-1+4)/(8-2)=1/2 =slope

slope intercept:

y-y1=m(x-x1)

y-2=(1/2)(x+4)

y-2=(1/2)x+2

y=(1/2)x+4

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c