13. two linear functions in a coordinate plane have exactly one point of intersection.
which pair of functions listed below could produce that result?
a, 3x + 4y = 12 and 9x + 12y = 36
b. 3x + 4y = 12 and 9x + 12y = 24
c. 3x + 4y = 12 and x + 4y = 8
d. 3x + 4y = 12 and 6x + 8y = 16

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?

How much would it be worth in 5, 10, 20 years