Standard Form

Front

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

Back

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

Front

How do you convert the equation x - 3y = 6 to slope-intercept form?

Back

To convert to slope-intercept form, solve for y: y = (1/3)x - 2.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating the steepness of the line.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How can you find the x-intercept of a linear equation?

Back

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

Front

What is the x-intercept of the equation 4x - 10y = 20?

Back

The x-intercept is 5.

Front

What is the slope of the line given by the equation 7x + 2y = -28?

Back

The slope is -7/2.

Front

What is the y-intercept of the line given by the equation 7x + 2y = -28?

Back

The y-intercept is -14.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What is the relationship between the slope and the angle of a line?

Back

The slope of a line is equal to the tangent of the angle that the line makes with the positive x-axis.