Question

Select all statements that are true about the linear equation. y=1/4x-5

a) The graph of the equation is the set of all points that are solutions to the equation.
b) The point (8, -3) is on the graph of the equation.
c) The graph of the equation is a single point representing one solution to the equation.
d) The point (12, 1) is on the graph of the equation.

Answer 1

(a) and (b) are true

Explanation:

a) is true.

b) is true. Replacing x with 8 in the equation y=1/4x-5 results in 2-5, or -3.

c) is false. See (a), above.

d) is false. Replacing x in the equation by 12 results in y = (1/4)(12) - 5, or -2.