Given that a system of two linear equations has infinitely many solutions which is true?
a The slopes are not equal and y-intercept are not equal
b The slopes are not equal and y-intercept are equal
c The slopes are equal and y-intercept are not equal
d The slopes are equal and y-intercept are equal

Question

13-12-2022
Mathematics

contestada

Given that a system of two linear equations has infinitely many solutions which is true?
a The slopes are not equal and y-intercept are not equal
b The slopes are not equal and y-intercept are equal
c The slopes are equal and y-intercept are not equal
d The slopes are equal and y-intercept are equal

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priyankapandeyVT priyankapandeyVT · Answer 1 · 2022-12-15T08:13:31+01:00

Because a system of two linear equations has an infinite number of solutions, these lines must have the same slope and y-intercept. Option D is correct.

What is the slope of the line?

The slope of the line is described as the tangent angle of inclination of the line horizontally. i.e. m =tanx where x in degrees.

Both lines are parallel their slopes are the same. Both equations can now represent the same. The equations represent the same line, they are coincident and have an endless number of solutions.

Thus, A system of two linear equations has infinitely many solutions so these lines must have the same slope and equal y-intercept.

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