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A line parallel to $y = 4x + 6$ passes through $(5, 10)$. What is the $y$-coordinate of the point where this line crosses the $y$-axis?

 Mar 28, 2020

Best Answer 

 #1
avatar+21017 
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Any line that is parallel to  y  = 4x + 6  has a slope of 4.

You can use the point-slope form:  y - y1  =  m(x - x1)

where     m = 4     x1 = 5     y1 = 10

--->   y - 10  =  4(x - 5)

         y - 10  =  4x - 20

                y  =  4x - 10

 

The y-intercept is  -10.

 Mar 28, 2020
 #1
avatar+21017 
+1
Best Answer

Any line that is parallel to  y  = 4x + 6  has a slope of 4.

You can use the point-slope form:  y - y1  =  m(x - x1)

where     m = 4     x1 = 5     y1 = 10

--->   y - 10  =  4(x - 5)

         y - 10  =  4x - 20

                y  =  4x - 10

 

The y-intercept is  -10.

geno3141 Mar 28, 2020

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