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.

Tags

CCSS.6.EE.C.9

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Tags

CCSS.8.EE.B.5

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.