4.13: Systems by Graphing

Front

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

Back

The lines representing the equations are parallel and never touch.

Front

Write the equation of the line with a slope of -3/2 and a y-intercept of 4.

Back

y = -3/2x + 4

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

Write the equation of the line with a slope of 3/5 and a y-intercept of -1.

Back

y = (3/5)x - 1

Front

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

Back

The lines representing the equations cross in one place.

Front

What is the slope of the line represented by the equation y = -5/3x + 2?

Back

-5/3

Front

If two lines are parallel, what can you say about their slopes?

Back

Their slopes are equal.

Front

Write the equation of the line that passes through the point (0, 4) with a slope of -2/3.

Back

y = -2/3x + 4

Front

What is the y-intercept of the line represented by the equation y = (5/3)x + 1?

Back

1

Front

How can you determine if a system of equations has infinitely many solutions?

Back

The lines are the same, meaning they overlap completely.