Graph Linear Equations

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.

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, indicating how steep the line is.

Front

How can you identify the y-intercept from the equation y = mx + b?

Back

The y-intercept can be identified as the value of b in the equation y = mx + b.

Front

What is the y-intercept of the line represented by the equation y = -2x + 6?

Back

The y-intercept of the line is 6.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.

Front

What is the slope of the line represented by the equation y = -2x + 6?

Back

The slope of the line is -2.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form y = mx + b.

Front

What is the significance of the point where a line crosses the y-axis?

Back

The point where a line crosses the y-axis is called the y-intercept, and it represents the value of y when x is 0.

Front

How do you determine the slope from two points on a line?

Back

The slope (m) can be determined 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 graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line on a coordinate plane.