Slope-Intercept & Point-Slope Form

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

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

Front

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

Back

The point-slope form is given by the equation y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

How do you find the y-intercept from the slope-intercept form?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation y = mx + b.

Front

Convert the equation y = 3x + 2 to point-slope form using the point (1, 5).

Back

y - 5 = 3(x - 1).

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, growth, or any relationship where one quantity changes in relation to another.