Graphing Linear Equations and Intercepts

This video tutorial is part two of a lesson on graphing linear equations using a table of values. It begins with a recap of part one, where equations in slope-intercept form were graphed. The focus then shifts to graphing the equation 4x + 2y = 10, which is in standard form. The tutorial explains the process of selecting x-values, substituting them into the equation, and calculating the corresponding y-values. An alternative approach of selecting a y-value to find the x-value is also discussed. The video concludes with plotting the points and drawing the graph of the equation.

What is the main focus of part two of the lesson?

• Understanding the properties of linear equations

• Solving linear equations algebraically

• Using a table of values to graph linear equations

• Graphing quadratic equations

Why is it important to select x-values that are multiples of the denominator in slope-intercept form?

• To simplify the equation

• To avoid fractions in y-values

• To make the graph more accurate

• To ensure the x-values are positive

What is the first step in graphing a linear equation in standard form using a table of values?

• Solving for the slope

• Selecting x-values

• Plotting the points on the graph

• Selecting y-values

When x = -1, what is the corresponding y-value for the equation 4x + 2y = 10?

• 7

• 8

• 6

• 5

What should you do if the y-value does not appear on the vertical axis?

• Change the y-value

• Ignore the point

• Change the x-value

• Recalculate the slope

What is the y-value when x = 0 for the equation 4x + 2y = 10?

• 6

• 4

• 3

• 5

What is the x-value when y = 0 for the equation 4x + 2y = 10?

• 3.0

• 2.5

• 2.0

• 1.5

What is the ordered pair for the vertical intercept of the equation 4x + 2y = 10?

• (0, 5)

• (5, 0)

• (0, 3)

• (3, 0)

Which point is the horizontal intercept for the equation 4x + 2y = 10?

• (2.5, 0)

• (0, 2.5)

• (5, 0)

• (0, 5)

What is the final step in graphing the linear equation using a table of values?

• Drawing the line through the points

• Rechecking the calculations

• Finding the slope

• Calculating more points