Slope Intercept and Point Slope 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

What does the slope of a line represent?

Back

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

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form.

Front

Convert the equation 4x + y = -10 to slope-intercept form.

Back

y = -4x - 10.

Front

What is the slope of the line represented by the equation y = 3x + 5?

Back

The slope is 3.

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of 0.

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.

Front

If a line has a slope of -2, what does this indicate about its direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

How do you write the equation of a line in point-slope form?

Back

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