SOLUTION: The graph of a linear function that passes through the point (-2,k) and has y- intercept -3, is decreasing if: a) k < -2/3 b) k > 3/2 c) k < 0 d) k > -3 e) k < or = -3

Algebra ->  Linear-equations -> SOLUTION: The graph of a linear function that passes through the point (-2,k) and has y- intercept -3, is decreasing if: a) k < -2/3 b) k > 3/2 c) k < 0 d) k > -3 e) k < or = -3       Log On


   

Question 935778: The graph of a linear function that passes through the point (-2,k) and has y- intercept -3, is decreasing if:
a) k < -2/3
b) k > 3/2
c) k < 0
d) k > -3
e) k < or = -3
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The points are (-2,k) and (0,-3).
Slope would be %28-3-k%29%2F%280-%28-2%29%29
-%283%2Bk%29%2F2.

For the line to be decreasing, slope must be negative, so you must have -%283%2Bk%29%2F2%3C0.

%283%2Bk%29%3E0 after multiplying both members by -2;

k%3E-3 after adding -3 to both members.