Question

Use the information given to enter an equation in standard form.(8, 12) and (7,8) are on the line.

Answer 1

Use the information given to enter an equation in standard form.

(8, 12) and (7,8) are on the line.

we know that

the equation of the line in standard form is equal to

Ax+By=C

where

A is a positive integer

B and C are integers

so

step 1

Find the slope m

m=(8-12)/(7-8)

m=-4/-1

m=4

step 2

Find the equation of teh line in slope intercept form

y=mx+b

we have

m=4

point (7,8)

substitute

8=4(7)+b

solve for b

8=28+b

b=-20

the equation is

y=4x-20

step 3

Convert to standard form

4x-y=20

tehrefore

the answer is

4x-y=20