Write equations of lines

Front

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

Back

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

Front

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

Back

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

Front

Write the equation of the line in slope-intercept form through the points (-6, -19) and (2, 5).

Back

y = 3x - 1.

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

Write the equation of a line with a slope of -3 and y-intercept of 8.

Back

y = -3x + 8.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other.

Front

Write an equation in slope-intercept form of the line that passes through the point (-2, 3) and is perpendicular to the line y = -1/2x - 4.

Back

y = 2x + 7.

Front

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

Back

The slope of the line is 4.

Front

How do you convert the standard form of a linear equation (Ax + By = C) to slope-intercept form?

Back

To convert, solve for y: y = (-A/B)x + (C/B).

Front

Write the equation of the line in slope-intercept form given the slope is 2 and the y-intercept is -5.

Back

y = 2x - 5.