Writing Linear Equations PD 3

Front

What is the point-slope formula?

Back

The point-slope formula is used to write the equation of a line given a point (x₁, y₁) and the slope (m). It is expressed as: y - y₁ = m(x - x₁).

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope = rising, negative slope = falling).

Front

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

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

How do you write the equation of a line with a slope of 0?

Back

The equation of a line with a slope of 0 is a horizontal line, expressed as y = b, where b is the y-coordinate of any point on the line.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

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

Back

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

Front

What is a horizontal line?

Back

A horizontal line is a line that runs left to right and has a slope of 0. Its equation is of the form y = b.

Front

What is a vertical line?

Back

A vertical line is a line that runs up and down and has an undefined slope. Its equation is of the form x = a.

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y₁ = m(x - x₁)) to slope-intercept form (y = mx + b), solve for y.