Question

precision complete the table.
x 0 1
y = 3x - 1 -1 3
plot the ordered pairs and draw the graph of the linear equation.
line
undo redo x reset

Explanation:

Step1: Check x=0

Substitute \( x = 0 \) into \( y = 3x - 1 \):
\( y = 3(0) - 1 = -1 \) (correct as given).

Step2: Check x=1

Substitute \( x = 1 \) into \( y = 3x - 1 \):
\( y = 3(1) - 1 = 2 \). Wait, the given 3 is wrong. Let's recalculate:
\( y = 3(1) - 1 = 3 - 1 = 2 \). So the table had a mistake. Let's correct it.

Step3: Ordered Pairs

For \( x = 0 \), \( y = -1 \) → ordered pair \( (0, -1) \).
For \( x = 1 \), \( y = 2 \) → ordered pair \( (1, 2) \).

Step4: Plotting

• Plot \( (0, -1) \): on the y-axis, 1 unit below the origin.
• Plot \( (1, 2) \): 1 unit right on x-axis, 2 units up on y-axis.
• Draw a straight line through these two points (and extend it) to graph \( y = 3x - 1 \).

Answer:

Corrected table:

\( x \)	0	1

Ordered pairs: \( (0, -1) \) and \( (1, 2) \). Graph is a line through these points with slope 3 and y-intercept -1.