Writing Equations in Slope-Intercept Form

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 find the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

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

Front

Given points (6,3) and (4,1), write the equation of the line in slope-intercept form.

Back

y = 1x - 3.

Front

Given points (2,6) and (3,1), write the equation of the line in slope-intercept form.

Back

y = -5x + 16.

Front

Given points (-2, -1) and (-3, 5), write the equation of the line in slope-intercept form.

Back

y = -6x - 13.

Front

If the slope of a line is 4 and it passes through the point (-2, 1), what is the equation of the line?

Back

y = 4x + 9.

Front

Given points (5,6) and (2, 15), write the equation of the line in slope-intercept form.

Back

y = -3x + 21.

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, resulting in an upward slant of the line.

Front

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

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.