Graphing Slope-Intercept 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 (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you identify a negative slope on a graph?

Back

A negative slope is identified when the line descends from left to right.

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

If a line has a slope of 2, what does this indicate about the line's steepness?

Back

A slope of 2 indicates that for every 1 unit increase in x, y increases by 2 units, making the line relatively steep.

Front

What is the significance of the slope being zero?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.

Front

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

Back

The slope 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 type of slope does the equation y = -3x + 1 have?

Back

The equation y = -3x + 1 has a negative slope.

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, start at the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run.

Front

What is the relationship between the slope of a line and its angle of inclination?

Back

The slope of a line is the tangent of the angle of inclination; a steeper slope corresponds to a larger angle.