For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have two points through which the line passes, so we can find the slope:
![(x_ {1}, y_ {1}) :( 4, -4)\\(x_ {2}, y_ {2}) :( 8, -10)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-10 - (- 4)} {8-4} = \frac {-10+ 4} {4} = \frac {-6} {4} = - \frac {3} {2}](https://tex.z-dn.net/?f=%28x_%20%7B1%7D%2C%20y_%20%7B1%7D%29%20%3A%28%204%2C%20-4%29%5C%5C%28x_%20%7B2%7D%2C%20y_%20%7B2%7D%29%20%3A%28%208%2C%20-10%29%5C%5Cm%20%3D%20%5Cfrac%20%7By_%20%7B2%7D%20-y_%20%7B1%7D%7D%20%7Bx_%20%7B2%7D%20-x_%20%7B1%7D%7D%20%3D%20%5Cfrac%20%7B-10%20-%20%28-%204%29%7D%20%7B8-4%7D%20%3D%20%5Cfrac%20%7B-10%2B%204%7D%20%7B4%7D%20%3D%20%5Cfrac%20%7B-6%7D%20%7B4%7D%20%3D%20-%20%5Cfrac%20%7B3%7D%20%7B2%7D)
Thus, the equation is of the form:
![y = - \frac {3} {2} x + b](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B3%7D%20%7B2%7D%20x%20%2B%20b)
We substitute one of the points and find "b":
![-4 = - \frac {3} {2} (4) + b\\-4 = - \frac {12} {2} + b\\-4 + 6 = b\\b = 2](https://tex.z-dn.net/?f=-4%20%3D%20-%20%5Cfrac%20%7B3%7D%20%7B2%7D%20%284%29%20%2B%20b%5C%5C-4%20%3D%20-%20%5Cfrac%20%7B12%7D%20%7B2%7D%20%2B%20b%5C%5C-4%20%2B%206%20%3D%20b%5C%5Cb%20%3D%202)
Finally, the equation is of the form:
![y = - \frac {3} {2} +2](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B3%7D%20%7B2%7D%20%2B2)
ANswer:
![y = - \frac {3} {2} +2](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%20%7B3%7D%20%7B2%7D%20%2B2)
Answer:
he/she is 13.34 centimeters tall
Step-by-step explanation:
m you simply slide the decimal over one space to the left in order to convert from millimeters to centimeters. Have an Awesome day and hope i could help! :)
Since all three sides are different lengths and angles, that triangle would be considered an Isosceles triangle.
Answer:
This question requires a comparison between two different variables 6% and 16% values. If we let x=$ loaned on 6% loans and y=$ loaned on 16% loans, then we can relate two equations.
0.06x + 0.16y = $1500 --> referencing the interest earned from each percentage loaned.
x + y = $16000 --> referencing the total amount of money loaned out.
Rearrange either equation and substitute for a value in the other equation or use elimination to determine each individual variable.
Step-by-step explanation: