Linear Equations Two Variables

Front

What is a linear equation in two variables?

Back

A linear equation in two variables is an equation that can be written in the form Ax + By = C, where A, B, and C are constants, and A and B are not both zero.

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 find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

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, indicating how steep the line is.

Front

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

Back

The y-intercept is 4.

Front

Convert the equation 2y - 4x = 8 into slope-intercept form.

Back

y = 2x + 4.

Front

Identify the slope and y-intercept of the equation y = -x + 1.

Back

Slope: -1, Y-intercept: 1.

Front

What is the slope of the line represented by the equation y = 0.25x - 2?

Back

The slope is 0.25.

Front

How do you convert the equation 5y = 10x + 20 into slope-intercept form?

Back

y = 2x + 4.

Front

What is the y-intercept of the equation 6x + 2y = 12?

Back

The y-intercept is 6.