Question

Write the equation of the line that models the given information.

Answer 1

y = -5x + 4.

Explanation:

For every difference of +1 in values of x, y values decrease by 5.

So the graph is a straight line and it slope = -5,

Using the point-slope form of a straight and the point (-1, 9):

y - 9 = -5(x - (-1))

y - 9 = -5x - 5

y = -5x - 5 + 9

y = -5x + 4.

Answer 2

The equation of the line that models given is x=y.