Choose the system of equations that matches the following graph: picture of coordinate plane with line y equals 1 half x and line y equals 7 sixths x plus 4. they intersect at negative 6, negative 3 a. 2x+4y=0 7x-6y= -24 b. 2x-4y=0 7x+6y= -24 c. 2x-4y=0 7x-6y= -24 d.2x+4y=0 7x+6y= -24

C. and

Step-by-step explanation:

We are given the graph of the system of equations given by,

.

After simplifying the equations, we get,

i.e. i.e. i.e.

And,

i.e. i.e. or

Hence, we get the system of equations,

and

Now, we will check the point of intersection of the new equations,

Multiplying first equation by 7 and second equation by 2 and then subtracting both equations,

We get,

gives i.e. y = -3

So, 2x-4y=0 gives 2x-4×(-3)=0 i.e. 2x=-12 i.e. x= -6

Thus, the intersection point is (-6,-3).

So, the new system of equation matches the graph.

Hence, option C is correct.

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0