Jorge used a graph to determine a solution to the following system of equations: x + y = 92 and y = 3x – 4 jorge’s answer is (67, 25). is he correct? explain how to check if his solution is correct without using a graph.

To check the answer, sub in 67 for x and 25 for y in both equations...because for it to be a solution, it has to satisfy both of the equations.

(67,25)...x = 67 and y = 25

x + y = 92
67 + 25 = 92
92 = 92 (correct)

y = 3x - 4
25 = 3(67) - 4
25 = 201 - 4
25 = 197 (incorrect)

so (67,25) is NOT a solution to this system of equations because it does not satisfy both of the equations

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.