Question

write an eqaution in slope-intercept form of the line that passes through (4,8) and (0,-2)
a.y=5/2x-2
b.y=-5/2x+8
c.y=2/5x-6
d.y=-2/5x+4

Answer 1

equation of a line passing through points (x2,y2) and (x1,y1)
(y-y2)/(x-x2)=(y2-y1)/(x2-x1)
here the two points are 4,8 and 0,-2
(y-8)/(x-4)=(8-(-2))/(4-0)
(y-8)/(x-4)=2.5
y-8=2.5x -10
y=2.5x-2
slope is -2.5 and y-intercept is -2
or y=5/2x-2
option A