Linear Equation from Graph

Front

What is 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 (positive slope means the line rises, negative slope means it falls).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. In the equation y = mx + b, b represents the y-intercept.

Front

How do you find the slope from two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = c, where c is a constant. The slope of a horizontal line is 0.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = c, where c is a constant. The slope of a vertical line is undefined.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept (b) and plot it on the y-axis. Then use the slope (m) to find another point by rising and running from the y-intercept.

Front

What does it mean if a line has a slope of 0?

Back

If a line has a slope of 0, it means the line is horizontal and does not rise or fall as it moves along the x-axis.

Front

What does it mean if a line has an undefined slope?

Back

If a line has an undefined slope, it means the line is vertical and does not run along the x-axis.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.