Writing Linear Equations from Graphs

Front

What is the slope (m) of a linear graph?

Back

The slope (m) represents the steepness of the line, calculated as the rise over run. It indicates how much y changes for a change in x.

Front

How do you write the equation of a line in slope-intercept form?

Back

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

Front

What does a vertical line represent in an equation?

Back

A vertical line is represented by an equation of the form x = a, where 'a' is a constant. It has an undefined slope.

Front

What does a horizontal line represent in an equation?

Back

A horizontal line is represented by an equation of the form y = b, where 'b' is a constant. It has a slope of 0.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and divide rise by run.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

What does the equation y = mx + b represent?

Back

This equation represents a linear function where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the equation y = -3x - 3?

Back

The slope is -3, which indicates the line falls as it moves from left to right.

Front

What is the significance of the slope being negative?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend in the graph.

Front

How do you graph the equation y = 1/4x + 2?

Back

Start at the y-intercept (0, 2) and use the slope (1/4) to find another point by rising 1 unit and running 4 units to the right.