Question

y = -5x - 2
y + 2 = -5x
a. infinitely many solutions
b. no solutions
c. (0,-2)
d. (0,2)

Answer 1

you wanna convert the second equation into slope-intercept form: y = mx + b

Answer 2

idk how to do that.

Answer 3

ok, another way of saying it is solving for y. you want y by itself on the left side of the equation

Answer 4

so to get rid of the 2, we're going to subtract 2 from both sides

y + 2 = -5x
y = -5x - 2

Answer 5

so both of the equations are exactly the same

Answer 6

what would our answer be, knowing that both lines have the same equation?

Answer 7

b?

Answer 8

no, it would be b if they had different y-intercepts. in this case, they have the same slope and y-intercept. the answer would be a.