Slope Intercept Flashcard

Front

What is the slope in the equation of a line?

Back

The slope is a measure of the steepness of a line, represented as 'm' in the slope-intercept form of a linear equation, which is y = mx + b.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the slope-intercept form of a linear equation, which is y = mx + b.

Front

How do you write a linear equation in slope-intercept form?

Back

A linear equation in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope of the line is 3.

Front

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

The slope is calculated as (y2 - y1) / (x2 - x1) = (7 - 3) / (4 - 2) = 2.

Front

What is the slope of the line represented by the equation y = -5/3x + 2?

Back

The slope of the line is -5/3.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

Write the slope-intercept form of a line with a slope of 12 and a y-intercept of 10.

Back

The equation is y = 12x + 10.

Front

What is the y-intercept of the line with the equation y = -2x + 4?

Back

The y-intercept is 4.