We are given two points on the line. Using these points first we need to find the slope of the line.
The points are (-8,0) and (1,5). The slope(m) of the line will be:
[tex]m= \frac{5-0}{1+8} = \frac{5}{9} [/tex]
Using the slope and a point (-8,0) we can write the equation in point slope form as:
[tex]y-0= \frac{5}{9}(x+8) \\ \\
y= \frac{5x}{9} + \frac{40}{9} \\ \\
9y=5x+40[/tex]
In standard form, the equation will be:
5x - 9y = - 40
