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writr the equation of the line passing through the given point and satisfying the given conditiin. give the equation (a) in the slope intercept form and (b) in a standard form. (8,2); parallel to 8x-y=9 simplify your answer

Sagot :

step 1

Find out the slope of the given line

we have

8x-y=9

isolate the variable y

y=8x-9

the slope is m=8

step 2

Remember that

If two lines are parallel then their slopes are equal

that means

The slope of the parallel line is m=8

step 3

Find out the equation in slope-intercept form

y=mx+b

we have

m=8

point (8,2)

substitute and solve for b

2=8(8)+b

b=2-64

b=-62

the equation in slope-intercept form is

y=8x-62

step 4

Find out the equation in standard form

Ax+By=C

where

A is a positive integer

B and C are integers

we have

y=8x-62

8x-y=62 ----> equation in standard form

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