Flashcard 6: System of linear equations

Front

What happens when you graph the same linear equation twice?

Back

You will have infinitely many solutions.

Front

What is the constant of variation if y varies with x when y is 7 and x is 14?

Back

1/2

Front

Convert the equation 11x - 4y = -17 to slope-intercept form.

Back

Front

Find the solution to the system of equations: y = -4x + 5 and -3x + y = -16.

Back

(3, -7)

Front

What is the slope of the line represented by the equation y = -rac{1}{2}x - 2?

Back

-1/2

Front

What is the y-intercept of the equation y = -rac{3}{2}x + 2?

Back

2

Front

What does it mean if a system of linear equations has no solution?

Back

The lines are parallel and do not intersect.

Front

What does it mean if a system of linear equations has one solution?

Back

The lines intersect at exactly one point.

Front

What does it mean if a system of linear equations has infinitely many solutions?

Back

The lines coincide and are the same line.

Front

How do you find the x-intercept of the equation y = -4x + 5?

Back

Set y = 0 and solve for x: 0 = -4x + 5, so x = 5/4.