Question

write the standard form of the line that passes through the given point. include your work in your final answer. (-8,0) and (1,5)

Answer 1

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:


`m= (5-0)/(1+8) = (5)/(9)`

Using the slope and a point (-8,0) we can write the equation in point slope form as:


`y-0= (5)/(9)(x+8) \\ \\ y= (5x)/(9) + (40)/(9) \\ \\ 9y=5x+40`

In standard form, the equation will be:

5x - 9y = - 40