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blagie [28]
3 years ago
8

Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope f

orm is y + 1 = (x – 8).
Mathematics
2 answers:
leonid [27]3 years ago
5 0

Answer: The answer is 2x + -3y =19

hope this helps (:

viva [34]3 years ago
3 0

Answer:

2x-3y=19

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

m=\frac{y2-y1}{x2-x1}

substitute the values in the formula

m=\frac{-5+1}{2-8}

m=\frac{-4}{-6}

simplify

m=\frac{2}{3}

The equation of the line in point slope form is

y-y1=m(x-x1)

we have

m=\frac{2}{3}

point\ (8,-1)

substitute

y+1=\frac{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=\frac{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

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