Question

Choose the system of equations which matches the following graph: (5 points) a line includes points 0 comma 0 and negative 1 comma 2. A line includes points 2 comma 3 and 1 comma negative 2 Question 12 options: 1) 5x − y = 7 2x − y = 0 2) 5x − y = 7 2x + y = 0 3) 5x + y = −7 2x + y = 0 4) 5x + y = −7 2x − y = 0 Save

Answer 1

(0,0),(-1,2)
slope = (2 - 0) / (-1 - 0) = - 2/1 = -2

so this equation, since it goes thru the origin, is : y = -2x or 2x + y = 0

(2,3),(1,-2)
slope = (-2 - 3) / (1 - 2) = -5/-1 = 5

y = mx + b
slope(m) = 5
(2,3)...x = 2 and y = 3
now sub into the formula and find b, the y int
3 = 5(2) + b
3 = 10 + b
3 - 10 = b
-7 = b
so this equation is : y = 5x - 7 or 5x - y = 7

so ur 2 equations are :
2x + y = 0
5x - y = 7