Find the equation of the line that goes through the points (4, –1) and (2, –5).
2 answers:
Answer:
y= 2x -9
Step-by-step explanation:
<u>Slope-intercept </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept.
![\boxed{slope = \frac{ y_{1} - y_2}{x_1 - x_{2}} }](https://tex.z-dn.net/?f=%5Cboxed%7Bslope%20%3D%20%20%5Cfrac%7B%20y_%7B1%7D%20-%20y_2%7D%7Bx_1%20-%20x_%7B2%7D%7D%20%7D)
Slope
![= \frac{ - 1 - ( - 5)}{4 - 2}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20-%201%20-%20%28%20-%205%29%7D%7B4%20-%202%7D%20)
![= \frac{ - 1 + 5}{2}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20-%201%20%2B%205%7D%7B2%7D%20)
![= \frac{4}{2}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B4%7D%7B2%7D%20)
= 2
Substitute m= 2 into the equation:
y= 2x +c
To find the value of c, substitute a pair of coordinates.
When x= 4, y= -1,
-1= 2(4) +c
-1= 8 +c
c= -1 -8
c= -9
Thus, the equation of the line is y= 2x -9.
Answer:
m= 2
b= -9
y=2x-9
Step-by-step explanation:
edg 2021
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