Through (6,-5) parralle to y=2/3x-19

Question

write the equation of the line in slope intercept form. Z z z z z z x x x x x x x x 

Answer 1

The slope intercept line equation is written as 

y = mx + b

where m is the slope and b is the y-intercept

 

Parallel lines will have the same slope so we know that the equation of the parallel line is:

y= (2/3)x + b

 

Because the line passes through x = 6 and y = -5, we can plug those values into the equation to get b.

 

-5 = (2/3)(6) + b

 

b = -5 - 4 = -9

 

Therefore, the equation of the parallel line is 

y = (2/3)(x) - 9