Answer:
![y = 5x](https://tex.z-dn.net/?f=%20y%20%3D%205x%20)
Step-by-step explanation:
Line equation is given as y = mx + b
Where, m is the slope of the line, which is,
![m = \frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20)
b is the y-intercept. It is the point at which the line crosses the y-axis for which the value of x = 0.
=>Find m and b to derive an equation for the line.
using the 2 coordinate pairs, (1, 5), (-1, -5),
Let, x2 = -1,
x1 = 1,
y2 = -5,
y1 = 5
![m = \frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20)
![m = \frac{-5 - 5}{-1 - 1}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7B-5%20-%205%7D%7B-1%20-%201%7D%20)
![m = \frac{-10}{-2}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7B-10%7D%7B-2%7D%20)
![m = 5](https://tex.z-dn.net/?f=%20m%20%3D%205%20)
From the graph given, the line intercepts the y-axis at point 0. Therefore b = 0.
Plug in the values of m and b in the line of equation.
y = mx + b
y = 5x + 0
y = 5x
Therefore, the equation of the line, in the graph above, written in slope-intercept form is:
![y = 5x](https://tex.z-dn.net/?f=%20y%20%3D%205x%20)
The answer is B) real numbers from 0-8
9514 1404 393
Answer:
3) y = √10
4) x = 5√2
Step-by-step explanation:
The side ratios of an isosceles right triangle (one of the "special" right triangles) are ...
1 : 1 : √2
So, for some multiplier k, they can be made to match the sides in your triangles.
__
3) 1·k : 1·k : k√2 = √5 : √5 : y
Clearly, k = √5, so ...
y = (√5)(√2)
y = √10
__
4) k : k : k√2 = x : x : 10
k = 10/√2 = (5√2)/2
k = x = (5√2)/2