Standard Form-Graphing

Front

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

Back

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

Front

How do you convert an 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 by isolating it on one side of the equation.

Front

What is the slope of the line represented by the equation 4x - 3y = 12?

Back

The slope is -\frac{4}{3} after converting to slope-intercept form.

Front

What is the y-intercept of the line represented by the equation 4x - 3y = 12?

Back

The y-intercept is 4 after converting to slope-intercept form.

Front

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

Back

The x-intercept is the point where the line crosses the x-axis, meaning y = 0.

Front

How do you find the x-intercept of the equation 3x + 4y = 24?

Back

Set y = 0 and solve for x. The x-intercept is (8, 0).

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = k, where k is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = k, where k is a constant.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.