Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8).

Step-by-step explanation:

we have the ordered pairs

(8, –1) and (2, –5)

Find the slope

The formula to calculate the slope between two points is equal to

substitute the values in the formula

simplify

The equation of the line in point slope form is

we have

substitute

Convert to standard form

The equation of the line in standard form is equal

where

A is a positive integer

B and C are integers

we have

Multiply by 3 both sides to remove the fraction

apply distributive property right side

Group the variables in one side and the constants in the other side

---> equation in standard form