Linear Equations forms

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope (m) in a linear equation?

Back

The slope (m) represents the rate of change of the line. It indicates how steep the line is and the direction it goes (positive slope goes up, negative slope goes down).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the slope-intercept form y = mx + b.

Front

What is point-slope form of a linear equation?

Back

Point-slope form is an equation of a line that passes through a given point (x1, y1) with a slope m, expressed as y - y1 = m(x - x1).

Front

Convert the point-slope form y - 3 = 1(x - 2) to slope-intercept form.

Back

y = x + 1.

Front

What is slope-intercept form of a linear equation?

Back

Slope-intercept form is expressed as y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

What does it mean if the slope of a line is zero?

Back

A slope of zero means the line is horizontal and does not rise or fall as it moves along the x-axis.

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope means the line is vertical, indicating that it does not have a defined rise over run.

Front

What is standard form of a linear equation?

Back

Standard form is expressed as Ax + By = C, where A, B, and C are integers, and A should be non-negative.