Flashcard 1 Slope of two points and standard form

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1)

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does a positive slope indicate about the direction of a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about the direction of a line?

Back

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

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

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

Back

Rearrange the equation to solve for y in terms of x.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What is the slope of the line that passes through the points (1, 2) and (1, 5)?

Back

The slope is undefined because the line is vertical.

Front

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

Back

The y-intercept is 4.

Front

If a line has a slope of -3, what does this tell you about the line's steepness?

Back

The line is steep and falls as it moves from left to right.