Find the equation of the line through the point (1,5) that is parallel to the line that passes through (2, 1) and (0, -5).

The answer to your question is  y = 3x + 2      

Step-by-step explanation:

Data

Point (1, 5)

Passes through  (2, 1) and (0, -5)

Process

1.- Calculate the slope of the parallel line

Formula

           m = (y2 - y1)/(x2 - x1)

-Substitution

           m = (-5 - 1)/ (0 - 2)

-Simplification

           m = -6/-2

-Result

           m = 3

As both lines are parallel, the slope is the same.

2.- Calculate the equation of the line

Formula

            y - y1 = m(x - x1)

-Substitution

            (y - 5) = 3(x - 1)

-Simplification

             y - 5 = 3x - 3

-Solve for y

                  y = 3x - 3 + 5

                  y = 3x + 2          

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11