Graphing Linear Functions through Tables

What are the three methods discussed for graphing linear functions?

• Slope, graphing calculator, matrix method

• Table of values, x and y intercepts, slope-intercept form

• Table of values, quadratic formula, slope

• Intercepts, quadratic formula, graphing calculator

Which of the following is not a method discussed for graphing linear functions?

• Matrix method

• Slope-intercept form

• Using a table of values

• Using x and y intercepts

Why is it preferable to solve the equation for y when using a table of values?

• It is required by mathematical laws

• It makes the graph visually appealing

• It helps in plotting x-intercepts

• It simplifies the calculation of y-values

Which values are suggested to use in the table for easier calculations?

• -2, -1, 0, 1, 2

• -3, -2, -1, 0, 1

• 0, 1, 2, 3, 4

• -1, 0, 1, 2, 3

What is the result of plugging x = -2 into the equation 2x + 1?

• y = -1

• y = -3

• y = 1

• y = 3

How do you plot the point for x = -2 and y = -3 on the graph?

• Move 2 units left and 3 units down

• Move 2 units right and 3 units up

• Move 2 units left and 3 units up

• Move 2 units right and 3 units down

What unique challenge does the equation Y = 1/2x + 1 present when using the same table of values?

• It does not affect the table setup

• It results in fractional y-values

• It simplifies to whole numbers

• It only uses positive numbers

How are the points graphed when the y-values are fractions?

• Points are rounded to the nearest whole number

• Points are ignored if they result in fractions

• Points are placed at the corners of the grid boxes

• Points are placed in the middle of the grid boxes

What do parallel lines on a graph indicate about their slopes?

• One slope is twice the other

• The slopes are opposite

• The slopes are identical

• The slopes are unrelated

Where does the line with the equation y = 3x + 1 cross the y-axis?

• At y = -1

• At y = 0

• At y = 3

• At y = 1