Answer:
The line equation in standard form is 2x – 3y = 19.
Explanation:
Given:
The point (8,-1) and (2,-5) in standard form
The point slope form is y + 1 = 2/3(x-8).
To find:
Equation of the line
Solution:
Now, we have line equation in point slope form, we have to convert it into standard form i.e. ax + by = c
Then, let us simplify the above equation.
[tex]y + 1 = \frac{2}{3} (x - 8)[/tex]
3(y + 1) = 2(x – 8)
3y + 3 = 2x – 16
2x – 3y = 16 + 3
2x – 3y = 19
Hence, the line equation in standard form is 2x – 3y = 19.
