write the equation of the line that passes through the point (8,-1) and (2,-5) in standard form, givin that the point slope form is y + 1 = 2/3(x-8).
Accepted Solution
A:
Answer:The line equation in standard form is 2x – 3y = 19.
Explanation:Given:The point (8,-1) and (2,-5) in standard formThe 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.