Review 4.1-4.3

Front

What is the definition of slope in a linear equation?

Back

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

Tags

CCSS.8.EE.B.5

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the formula for the equation of a line in slope-intercept form?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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 y when x = 0.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a line that descends from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between perpendicular lines in terms of slope?

Back

Perpendicular lines have slopes that are negative reciprocals of each other, meaning if one line has a slope of m, the other has a slope of -1/m.

Tags

CCSS.8.EE.B.6

Front

Convert the equation y - 3 = 3(x - 1) to slope-intercept form.

Back

The slope-intercept form is y = 3x.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is point-slope form of a linear equation?

Back

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

Front

How do you determine the x-intercept of a line?

Back

The x-intercept is found by setting y = 0 in the equation of the line and solving for x.