4.1 Graphing Using a Table

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

How do you solve for y in the equation 3y - 5x = -18?

Back

To solve for y, isolate y on one side: 3y = 5x - 18, then y = (5/3)x - 6.

Front

What is a table of values in relation to graphing?

Back

A table of values lists pairs of x and y coordinates that satisfy an equation, which can be plotted on a graph.

Front

What does the graph of the equation y = 4 look like?

Back

The graph of y = 4 is a horizontal line that crosses the y-axis at 4.

Front

How do you determine the correct graph for a given table of values?

Back

To determine the correct graph, plot the points from the table and see which graph passes through all those points.

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 create a table of values for the equation y = -3x - 1?

Back

Choose values for x, substitute them into the equation to find corresponding y values, and list the pairs.

Front

What is the significance of the y-intercept in a linear equation?

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

How can you verify if a point lies on the graph of an equation?

Back

Substitute the x and y values of the point into the equation; if the equation holds true, the point lies on the graph.