Graphing Linear Equations

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 identify the slope in the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Front

How can you convert the standard form of a linear equation 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 is the slope of the line represented by the equation y = 1/4x - 1?

Back

The slope of the line is 1/4.

Front

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

Back

The y-intercept of the line is -3.

Front

In the context of a real-world problem, how would you model a situation with a fixed startup fee and a monthly fee using a linear equation?

Back

You would use the equation y = mx + b, where m is the monthly fee and b is the startup fee.

Front

What is the equation in slope-intercept form for a line with a slope of -1/3 and a y-intercept of 3?

Back

The equation is y = -1/3x + 3.