Standard to Slope-Int and Graphing Systems

Front

What is a solution to a system of equations?

Back

A solution is where the two lines intersect.

Front

What does the graph of a system of equations with infinitely many solutions look like?

Back

The graph consists of coincident lines.

Front

What is the slope-intercept form of the equation if m=3 and b=6?

Back

y=3x+6

Front

What is the y-intercept in the equation y=-4x-5?

Back

The y-intercept is -5.

Front

What is the first step to convert the equation 2x + 4y = 8 into slope-intercept form?

Back

Subtract 2x from each side.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean if two lines are parallel?

Back

It means they have the same slope and will never intersect.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel, the system has no solution.