Match each statement with its corresponding value for the system below: y = -2(3)x and y = 9x - 2 1. the number of points of intersection. 2. the x-coordinate of the solution. 3. the y-coordinate of the solution. the options as the answers are: 1 2 3

As, we can see the graph, the two lines intersect at exactly one point. Hence, there is just one solution.

Theortically, As the slope of and is different. Hence, the system of equation has exactly one unique solution.

2. The x coordinate of the solution from graph is 0.1333.

Theortically, From, y=-2(3x) and y=9x-2

-2(3x)=9x-2

-6x=9x-2

Adding 2 on both sides, we get,

-6x+2=9x-2+2

-6x+2=9x

Adding 6x on both sides, we get,

2=15x

Dividing by 15 on both sides

x=

x=0.1333

As, x=0.1333 in y=-2(3)x

y=-2(3)()

y=

y=-0.8

Graphically, as well y coordinate of point of intersection is -0.8

its a straight line parallel to the time axis

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c