Answer:
y=3/2 x + 5
Step-by-step explanation:
[tex]y = mx + c[/tex]
Firstly, find m (gradient).
m= (y1-y2)/(x1- x2)
m= 8-(-1)/ 2-(-4)
m= 9/ 6
m= 3/2
Please leave gradient in improper fraction if its value is not a whole number.
Now substitute m into the equation:
y= 3/2 x + c
Then substitute a coordinate to find c:
When y= 8, x= 2,
8= 3/2 (2) + c
8= 3 + c
c= 8 - 3 = 5
Thus, the equation of the line is y= 3/2 x + 5.
