Question

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).​

Answer 1

The line equation in standard form is 2x – 3y = 19.

Step-by-step 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.

`y + 1 = (2)/(3) (x - 8)`

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.