Solving Systems Graphically

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

Why do parallel lines never intersect?

Back

They have the same slopes.

Front

Find the slope of the line that passes through (10, 1) and (5, 2).

Back

-1/5

Front

Write the equation of the line with slope 4 through the point (−2, 5).

Back

y = 4x + 13

Front

Solve the following using elimination: x - y = 11, 2x + y = 19.

Back

(10, -1)

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean for a system of equations to have no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What is the slope-intercept form of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

What is the y-intercept of the line y = 3x + 4?

Back

The y-intercept is 4.