Flashcard (6.5-6.6) FOM

Front

What is the point-slope form of a linear equation?

Back

The point-slope form of a linear equation is given by the formula: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert an equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y to isolate it on one side of the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x). It is often represented by the letter m.

Tags

CCSS.8.EE.B.5

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the direction and steepness of the line. A positive slope means the line rises, while a negative slope means it falls.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a line has a slope of zero?

Back

A line with a slope of zero is horizontal, indicating that there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a line has an undefined slope?

Back

A line with an undefined slope is vertical, indicating that there is no change in x as y changes.

Tags

CCSS.8.EE.B.5

Front

How do you determine the slope from two points?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the two points.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope, meaning they never intersect.

Tags

CCSS.8.EE.B.5