Writing Linear Equations

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 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 or negative).

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept is found by setting x to 0 in the equation and solving for y. It is the point where the line crosses the y-axis.

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

How do you graph a linear equation?

Back

To graph a linear equation, start by plotting the y-intercept on the y-axis, then use the slope to find another point on the line.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope of the line is 4.

Front

What is the y-intercept of the equation y = -2x + 5?

Back

The y-intercept of the equation is 5.

Front

How do you convert the equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and does not rise or fall as it moves along the x-axis.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical and does not have a defined slope value.