sharonkiwi
contestada

which of the following gives an equation of a line that passes through the point (6/5, -19/5) and is parallel to the line that passes through the origin and point (-2,-12)?
a) y= 6x-11
b) y=6x-19/5
c) y=6x-6/5
d) y=6x+1

Respuesta :

angeldragonaz
the answer would be a. since the equation you would need to use would be -19/5=6(6/5)+b then you would have to figure out what 6(6/5)= which is 36/5 which you would then have to subtract from -19/5 to get rid of 36/5 to get b by itself and to keep it even on both sides. and that would give you -11=b so then the equation would then equal y=6x-11

The equation of a line that passes through the point (6/5, -19/5) and is parallel to the line y = 6x is y = 6x - 11.

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 passing through the origin and a point (-2,-12) will be

[tex]\rm y -0= \dfrac{-12 - 0}{-2 -0} (x -0)\\\\ y = 6x\\[/tex]

The line is parallel and passing through (6/5, -19/5) is given as

y = 6x + c

Then we have

[tex]- \dfrac{19}{5} = 6 \times \dfrac{6}{5} +c \\\\c = -11[/tex]

Then we have

y = 6x - 11

More about the linear system link is given below.

https://brainly.com/question/20379472

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