Question 1 / 1
Find the equation of the line through the points (3,6) and (-1, 1).
![Question 1 1 Find the equation of the line through the points 36 and 1 1 class=](https://us-static.z-dn.net/files/d06/a1e02c25abdb26781590626d2c83385b.png)
Answer:
Now that the values of m (slope) and b (y-intercept) are known, substitute them into y=mx+b . to find the equation of the line.
y=5/4x+9/4
Step-by-step explanation:
Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept.
To calculate the equation of the line, use the y=mx+b format.
Slope is equal to the change in y over the change in x , or rise over run.
m=(change in y)/(change in x)
The change in x
is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=(y2−y1)/(x2−x1)
Substitute in the values of x and y into the equation to find the slope.
m=1−(6)/−1−(3)
Finding the slope m.
m=5/4
Find the value of b
using the formula for the equation of a line.
b=9/4