Linear forms

Front

What is the slope of the line represented by the equation y - 3 = 2(x + 4)?

Back

The slope is 2.

Front

What point does the line y - 3 = 2(x + 4) contain?

Back

The point is (-4, 3).

Front

What is point-slope form of a linear equation?

Back

Point-slope form is y - y₁ = m(x - x₁).

Front

What is the y-intercept of the equation 3x + 4y = 24?

Back

The y-intercept is (0, 6).

Front

What is the x-intercept of the equation 3x + 4y = 24?

Back

The x-intercept is (8, 0).

Front

What form is the equation y = 9x - 2 in?

Back

The equation is in slope-intercept form.

Front

How do you convert the equation 3x + 4y = 24 to slope-intercept form?

Back

Isolate y: 4y = -3x + 24, then y = -3/4x + 6.

Front

What does the term 'slope' represent in a linear equation?

Back

Slope represents the rate of change of y with respect to x.

Front

What is the standard form of a linear equation?

Back

Standard form is Ax + By = C, where A, B, and C are integers.

Front

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

Back

Slope (m) = (y₂ - y₁) / (x₂ - x₁).