Question

A line that passes through the points (-4, 10) and (-1,5) can be represented by the equation y= - 5/3(x-2). Which equations also represent this line? y= - 5/3 x -2, y= - 5/3 x+ 10/3, 3y= -5x + 10, 3x+15y=30, 5x+3y=10

Answer 1

points (-4,10) and (-1,5) belong to y= -5/3(x-2)

the slope of the line going trough the two points is 5-10/-1+4= -5/3
the equation of the line is y-10=(-5/3)(x+4) so
y-10= -5x/3 -20/3
y=-5x/3 -20/3+30/3

y= (-5/3)x+10/3