Question

WILL MEDAL AND FAN
I have only a few questions!

LINK TO SEE QUESTION BELOW

Answer 1

@chrisk123

Answer 2

The independent variable (x) is the number of weeks while the dependent variable (y) is the amount saved. This is because the amount saved at a given time depends on what week it is; it woudn't make sense to saw that the number of weeks that have passed depends on the amount of money saved.

With that aside, we can then calculate the slope:
\[\text{Slope} = m = \frac{y_2 - y_1}{x_2 - x_1}\]
Plug in numbers and you should see that the slope is the same regardless of which two sets of numbers you use.

Once you've calculated the slope, you can use the point slope form of a linear equation:
\[y -y_1 = m(x - x_1)\]
This is more convenient in this situation than the slope intercept form (which you may be more familiar with):
\[y=mx+b\]
We can't use the slope intercept form because we don't know the intercept of our line (hence the name "slope intercept" form). We can, however, use the point slope form as we have a point and a slope (which you calculated from the given data).
Plugging the required numbers in, you should get your answer.

Answer 3

oh wait so it would be....B? @DisplayError

Answer 4

Yep!

Answer 5

@DisplayError

Answer 6

Now this graph provides us with two points (what can we calculate when we're given two points on a line?) and an intercept. Which form of the equation of a line should we use then?
The point slope form
\[y - y_1 = m(x - x_1)\]
or the slope-intercept form?
\[y = mx + b\]