Question

Find the parallel line for y=6x-2 ;(0,0)

Answer 1

y

=

6

x

−

3

,

(

0

,

9

)

Use the slope-intercept form to find the slope.

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m

=

6

To find an equation that is parallel to

y

=

6

x

−

3

, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

(

0

,

9

)

m

=

6

Find the value of

b

using the formula for the equation of a line.

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b

=

9

Now that the values of

m

(slope) and

b

(y-intercept) are known, substitute them into

y

=

m

x

+

b

to find the equation of the line.

y

=

6

x

+

9

Explanation:

Answer 2

Parallel Lines have the same slope so we take that slope and we put into our equation: y=6x-b

Then we find b by having everything equal b. So: b=-6x+y

Then we put our points into our equation: b=6*0+0 b=0

Now we go back to our original equation and put in our new b value.

y=6x+0