Graphing Linear Equations

Front

What is the slope in the equation: y=4x+3?

Back

The slope is 4.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

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

Front

If m=3 and b=6, what is the slope-intercept equation?

Back

The equation is y = 3x + 6.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

How do you determine the slope from a graph of a line?

Back

The slope can be determined by selecting two points on the line and using the formula m = (rise/run).

Front

What is the slope of the line represented by the equation y = -3/2x + 1?

Back

The slope is -3/2.

Front

What is the significance of a positive slope in a linear equation?

Back

A positive slope indicates that as x increases, y also increases.

Front

What is the significance of a negative slope in a linear equation?

Back

A negative slope indicates that as x increases, y decreases.

Front

How can you identify the slope of a line from its graph?

Back

The slope can be identified by calculating the change in y over the change in x between two points on the line.