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:

$m= \frac{5-0}{1+8} = \frac{5}{9}$

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

$y-0= \frac{5}{9}(x+8) \\ \\ y= \frac{5x}{9} + \frac{40}{9} \\ \\ 9y=5x+40$

In standard form, the equation will be:

5x - 9y = - 40