Math Question

Question

Through (2,6); parallel to 10x-y=4

Answer 1

The equation of the line is y = 10x - 14!

To find the equation, you first determine the slope of the given line, which is 10. Since your new line is parallel, it also has a slope of 10. Using this slope and the given point (2, 6) in the point-slope formula, you can find the equation:

y−6=10(x−2)

y−6=10x−20

y=10x−14

Answer 2

1. First, find the slope of the line 10x - y = 4.

 

   Rewrite the equation in the form y = mx + b:   y = 10x - 4

 

   The slope is 10, the coefficient of x.  

 

2. Since parallel lines have the same slope, the slope of the desired line is also 10. 

 

3. The line has slope 10 and contains the point (2, 6).  

 

    Equation of line:  y - 6 = 10(x - 2)

 

                            y - 6 = 10x - 20

 

                                y = 10x - 14