Linear Review

Front

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

Back

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

Front

How do you find the slope between two points (x₁, y₁) and (x₂, y₂)?

Back

Slope (m) = (y₂ - y₁) / (x₂ - x₁).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the slope of the line passing through the points (-1, -9) and (5, -6)?

Back

1/2.

Front

Write the equation in point-slope form for a line with slope -3 passing through the point (-2, -1).

Back

y + 1 = -3(x + 2).

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

If a line has a slope of 2, what does this mean?

Back

For every 1 unit increase in x, y increases by 2 units.

Front

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

Back

Parallel lines have the same slope.

Front

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

Back

Perpendicular lines have slopes that are negative reciprocals of each other.