Writing Equations from a Graph

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

How do you identify the slope from a graph?

Back

The slope is the rise over run, calculated as the change in y divided by the change in x between two points on the line.

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, represented by the value of b in the slope-intercept form.

Front

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

Back

The slope is 3.

Front

How can you determine if a line is increasing or decreasing from its slope?

Back

If the slope (m) is positive, the line is increasing; if negative, the line is decreasing.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = k, where k is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = k, where k is a constant.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

Rearrange the equation Ax + By = C to solve for y, resulting in y = mx + b.

Front

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

Back

An undefined slope indicates a vertical line, where the x-value does not change.

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) is the y-intercept, indicating where the line crosses the y-axis.