Aline that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = (x – 2). which equations also represent this line? check all that apply. y = x – 2 y = x + 3y = –5x + 10 3x + 15y = 30 5x + 3y = 10

Slope=(y2-y1)/(x2-x1)=(10-5)/(-4-(-1))=-5/3
Let equation be y=-(5/3)+b => 10=-(5/3)(-4)+b => b=10/3
So the real equation is y=-5/3+10/3   (and not y=x-2)

A. y=x-2   is not equivalent to y=-5/3+10/3 
B. y=x+   is not an equation, so cannot be an equivalence
C. 3y = –5x + 10  divide by three =>  y=-(5/3)+10/3  both slope and y-intercept are equal, so equivalent to y=-5/3+10/3
D. 3x + 15y = 30  divide by 15 => (1/5)x+y = 2  slope and y-intercept are both not equal, so not equivalent to y=-5/3+10/3
E. 5x + 3y = 10  divide by 3 => (5/3)x + y = 10/3   slope and y-intercept are both equal, so equivalent to y=-5/3+10/3