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 Find the equation of a line parallel to y - 5 = 6x - 10 that passes through the point (4, 10). (answer in slope-intercept form)

A)y = 6x - 14

B)y = 6x + 14

C)y = -6x - 14

D)y = 1/6x - 14

Guest Feb 13, 2018
 #1
avatar+7339 
+1

First we need to find the slope of the line...

 

y - 5  =  6x - 10

                            Add  5  to both sides of the equation.

y  =  6x - 5           Now that this is in slope-intercept form, we can see that its slope is  6 .

 

The slope of a line that is parallel to this will also be  6 .

 

Using the point  (4, 10)  and a slope of  6  , the equation of our line in point-slope form is...

 

y - 10   =   6(x - 4)

                               Distribute the  6  to both terms in parenthesees.

y - 10   =   6x - 24

                               Add  10  to both sides of the equation.

y   =   6x - 14          This is the equation in slope-intercept form.

hectictar  Feb 13, 2018
 #2
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+2

Alternatively 

6x - y + k = 0 then substitute (4,10)

ie k = -14

therefore equation becomes 6x - y -14 = 0 ie y = 6x - 14

Guest Feb 13, 2018
 #3
avatar+7339 
+2

Hey! I like that way! laugh

hectictar  Feb 13, 2018
 #4
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+2

smileyThanks.....it's yours

Guest Feb 13, 2018
edited by Guest  Feb 13, 2018

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