Solving Systems by graphing

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

What is the solution of a system of equations if the lines are the same?

Back

Infinitely Many Solutions.

Front

What is the slope-intercept form of the equation -8x + 2y = 4?

Back

y = 4x + 2.

Front

Convert the equation 5x - 3y = -9 into slope-intercept form.

Back

y = (5/3)x + 3.

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 two lines to be intersecting?

Back

They have exactly one solution, where they cross.

Front

What is the meaning of 'slope' in a linear equation?

Back

The slope indicates the steepness and direction of a line.

Front

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

Back

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

Front

What is the y-intercept in the slope-intercept form y = mx + b?

Back

The y-intercept is the value of y when x = 0.