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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).

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Answer:

The answer is 2x + -3y = 19

Explanation:

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User KTY
by
8.4k points
2 votes

Answer:


2x-3y=19

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


m=(y2-y1)/(x2-x1)

substitute the values in the formula


m=(-5+1)/(2-8)


m=(-4)/(-6)

simplify


m=(2)/(3)

The equation of the line in point slope form is


y-y1=m(x-x1)

we have


m=(2)/(3)


point\ (8,-1)

substitute


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

Convert to standard form

The equation of the line in standard form is equal


Ax+By=C

where

A is a positive integer

B and C are integers

we have


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

Multiply by 3 both sides to remove the fraction


3y+3=2(x-8)

apply distributive property right side


3y+3=2x-16

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


2x-3y=3+16


2x-3y=19 ---> equation in standard form

User MightyMouse
by
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