There are two different cell phone plans jordan is considering. the first one will cost $10 for the line and unlimited calls plus $0.02 per text message. the second plan cost $8 per line plus $0.05 per text message sent. at what number of text messages do the plans cost the same amount of money?
equation in slope intercept form.

Create two equations to represent each plan

On your two axes, y represents money spent, x represents number of texts sent.

First: y = 0.02x + 10

Second: y = 0.05x + 8

To find the intersection point of two graphs substitute them into each other.

0.02x + 10 = 0.05x + 8

0.02x + 2 = 0.05x                   Subtract 8 from both sides

2 = 0.03x                               Subtract 0.02x from both sides

x = 2 / 0.03                            Divide both sides by 0.03

x = 66.6666... Texts must be a whole number technically, but as it asks for the exact intersect I would put this into a fraction and say 66 2/3 texts