Graphing Linear Equations

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the equation of a line with a slope of -4/5 and a y-intercept of 3?

Back

The equation is y = -4/5x + 3.

Front

What does it mean if a line has a slope of 1?

Back

A slope of 1 means that for every unit increase in x, y increases by the same amount, resulting in a 45-degree angle line.

Front

What is the graph of the equation y = -x + 2?

Back

The graph is a straight line that crosses the y-axis at (0, 2) and has a slope of -1.

Front

What is the slope of the line represented by the equation y = 0?

Back

The slope is 0, indicating a horizontal line.