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 $\frac{y_2 - y_1}{x_2 - x_1}$. So, using the two given points,

$m = \frac{y_2 - y_1}{x_2 - x_1}$
$m = \frac{18.75 - 17.60}{2002 - 2001}$
$m = 1.15$

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

$\bf y = 1.15x - 2283.55$