4.1 Write Linear 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

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

If a line has a slope of 0, what is its orientation?

Back

A line with a slope of 0 is horizontal.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is descending from left to right.

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

Front

How can you convert the standard form of a linear equation to slope-intercept form?

Back

To convert, solve for y in terms of x to get it into the form y = mx + b.

Front

What is the slope of the line represented by the equation y = 3x - 4?

Back

The slope of the line is 3.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope.

Front

What does it mean if two lines are perpendicular in terms of their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.