Slope-Intercept Form Flashcards

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 'm' represent in the slope-intercept form?

Back

'm' represents the slope of the line, indicating how steep the line is.

Front

What does 'b' represent in the slope-intercept form?

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

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 slope of the line represented by the equation y = 3x + 1?

Back

The slope is 3.

Front

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

Back

The y-intercept is 4.

Front

Write the equation of a line with a slope of -1 and a y-intercept of 5.

Back

y = -1x + 5 or y = -x + 5.

Front

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

Back

A slope of 0 indicates a horizontal line.

Front

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

Back

An undefined slope indicates a vertical line.

Front

What is the equation of a line with a slope of 2 and a y-intercept of -3?

Back

y = 2x - 3.