-2024Graphing Linear Equations Fill-In

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

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

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 is the y-intercept in the equation y = -3x + 7?

Back

The y-intercept is 7.

Front

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

Back

The slope is 4.

Front

Convert the equation -3x + 4y = 12 to slope-intercept form.

Back

y = (3/4)x + 3.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the graphical representation of the equation y = -x + 2?

Back

The graph is a straight line that crosses the y-axis at 2 and has a slope of -1.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the significance of the y-intercept in a graph?

Back

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