Solving Systems of Equations Graphically Flashcard

Front

What type of solution does a system of equations have when the graphs are parallel?

Back

no solution

Front

What is the slope of the linear equation: y = -5x + 6?

Back

-5

Front

True or False: A linear system has no solution when the graphs of the equations are parallel.

Back

TRUE

Front

What is the type of solution to the system of equations: y = -x - 6 and y = 2x + 6?

Back

one solution

Front

What is the type of solution to the system of equations: y = -2x - 7 and y = -2x + 8?

Back

no solution

Front

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

Back

The equations represent the same line.

Front

How can you determine if a system of equations has one solution?

Back

The lines intersect at exactly one point.

Front

What is the graphical representation of a system of equations with no solution?

Back

Two parallel lines that never intersect.

Front

What is the significance of the y-intercept in a linear equation?

Back

It is the point where the line crosses the y-axis.

Front

How do you find the slope of a line given two points?

Back

Slope (m) = (y2 - y1) / (x2 - x1).