To find the equation of this line in slope-intercept form (y = mx + b, where m is its slope and b is its y-intercept), we naturally need the slope and the y-intercept. We can see that the line intersects the y-axis at the point (0, 4) so our y-intercept is 4, and the line rises 4 along the y-axis for every 2 it runs along the x-axis, so its slope is 4/2 = 2. With this in mind, we can write the line's equation as
y = 2x + 4
Answer:
14 1/8 feet by 18 3/8.
Step-by-step explanation:
I took 1 5/8 feet and added it to both...
Hi there!
We are given two ordered pairs which are:
If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).
1. Find the slope
- Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!
![\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7Bm%20%3D%20%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%7D)
Since we have two given points, we can substitute them in the formula.
![\large{m = \frac{4 - 0}{5 - 0} } \\ \large \boxed{m = \frac{4}{5} }](https://tex.z-dn.net/?f=%20%5Clarge%7Bm%20%3D%20%20%5Cfrac%7B4%20-%200%7D%7B5%20-%200%7D%20%7D%20%5C%5C%20%20%5Clarge%20%5Cboxed%7Bm%20%3D%20%20%5Cfrac%7B4%7D%7B5%7D%20%7D)
2. Form an equation.
- Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.
![\large \boxed{y = mx + b}](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7By%20%3D%20mx%20%2B%20b%7D)
Where <u>m</u><u> </u><u>=</u><u> </u><u>s</u><u>l</u><u>o</u><u>p</u><u>e</u> and <u>b</u><u> </u><u>=</u><u> </u><u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u><u>.</u> We substitute m = 4/5.
![\large{y = \frac{4}{5} x + b}](https://tex.z-dn.net/?f=%20%5Clarge%7By%20%3D%20%20%5Cfrac%7B4%7D%7B5%7D%20x%20%2B%20b%7D)
Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).
![\large \boxed{y = \frac{4}{5} x}](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7By%20%3D%20%20%5Cfrac%7B4%7D%7B5%7D%20x%7D)
3. Answer
- Therefore the equation of the line is y = 4x/5.
9514 1404 393
Answer:
$533.86
Step-by-step explanation:
The sum of the sales amounts is $3,559.07. Dan's commission is ...
0.15 × $3,559.07 = $533.86