Question

Examine the system of equations.

t + f = 42,

2t + 4f = 100

Graph the first equation with t on the horizontal axis. Use the points (0, 42) and (42, 0).

Answer 1

Graph (0, 25) and (50, 0)

Explanation:

Intercept form of an equation for a line is ...

x/(x-intercept) + y/(y-intercept) = 1

Dividing each equation by the constant on the right can put it into this form.

First equation:

t/42 + f/42 = 1

Second equation:

t/50 + f/25 = 1

This tells you the second equation can be graphed using the points ...

... (50, 0) and (0, 25) . . . . . matches the second selection