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The graphed line shown below is y = 5x-10.

Which equation, when graphed with the given equation, will form a system that has no solution?
y = -5x+10
y = 5 (x + 2)
y = 5 (x-2)
y = -5x - 10

The graphed line shown below is y 5x10 Which equation when graphed with the given equation will form a system that has no solution y 5x10 y 5 x 2 y 5 x2 y 5x 10 class=

Respuesta :

Answer:

y = 5x - 10 and y = 5(x + 2) are the system of equations that has no solution.

Step-by-step explanation:

The slope-intercept form of a straight line equation is given by, y = mx + c, where m is the slope and c is the y-intercept.

Now, only a system of parallel straight lines has no solution.

And the parallel straight lines have an equal slope and different y-intercept.

Hence, the given equation, y = 5x - 10 has slope equals to 5 and y-intercept - 10.

And the lines given in the options, only the second line i.e. y = 5(x + 2) has the same slope i.e. 5 and different y-intercept i.e. 10 ≠ - 10.

So, y = 5x - 10 and y = 5(x + 2) are the system of equations that has no solution. (Answer)

Answer:

B: y=5(x+2)

Step-by-step explanation:

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