Writing Equations in Slope Intercept Form

Front

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

Back

Front

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

Back

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a line?

Back

Front

Write the equation of a line with slope 2 that passes through the point (1, 3).

Back

Front

Write the equation of a line with slope -1 that passes through the point (0, 4).

Back

Front

How do you convert the standard form of a line to slope-intercept form?

Back

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

What is the significance of a negative slope?

Back

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

Front

Write the equation of a line that passes through the points (2, 3) and (4, 7).

Back