Respuesta :
The slope of the lines remains the same. Then the equation of the parallel line that is passing through the point (6, 9) is 2x - 3y + 15 = 0.
What is the linear system?
A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The equation of a line L is 2x-3y = 6
The slope of the line is 2/3.
Then the equation of the line which is parallel to L and passes through the point (6,9) will be
The slope of the lines remains the same. Then the equation of the line will be
[tex]\rm y = \dfrac{2}{3}x + c[/tex]
Then the line is passing through (6, 9), then we have
[tex]\rm 9= \dfrac{2}{3}(6) + c\\\\c = 5[/tex]
Then the equation of the parallel line will be
[tex]\begin{aligned} y &= \dfrac{2}{3}x + 5\\\\2x - 3y &=-15 \end{aligned}[/tex]
More about the linear system link is given below.
https://brainly.com/question/20379472
