Question

Use points (2001,17.60) and (2002,18.75) to write an equation in slope intercept form.

Answer 1

The general slope-intercept form is given by
`y = mx + b`, where
`m` is the slope and
`b` is the y-intercept.

Let's find the slope first. Remember that the slope given by two points is
`(y_2 - y_1)/(x_2 - x_1)`. So, using the two given points,


`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (18.75 - 17.60)/(2002 - 2001)`

`m = 1.15`

Now, we know that
`y = 1.15 x + b`. To find
`b`, let's just plug in the x and y coordinates for one of the points and solve for b:


`17.60 = 1.15(2001) + b`

`17.60 = 2301.15 + b`

`b = -2283.55`

Thus, the equation of the line in slope-intercept form is


`\bf y = 1.15x - 2283.55`