Two lines form a linear system. The slope of one line is 4 and it has a y-intercept of (0, -3). The slope of the other line is 4 and it has a y-intercept of (0, 8). How many solutions does this system have?

Question

hero · Answer

The slopes of both lines are four but have a different y intercept? How many solutions do you think it will have @Hahmely?

hero · Answer

The slopes of both lines are the same.

anonymous · Answer

is it 1, 2 , 0 , or infinitely many

hero · Answer

Well, let's consider this:

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hero · Answer

This is what it looks like

hero · Answer

That's what two lines with the same slope with y-interecepts of -3 and 8 look like.

hero · Answer

So how many solutions would that be?

hero · Answer

Remember, in order for there to be solutions, the lines must intersect at at a least one point.