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Analyzing Graphs of Linear Equations

1.5.1 Analyzing Graphs of Linear Equations

1.5.1 • Analyzing Graphs of Linear Equations

Warm Up

Which one doesn’t belong?

A.
 Line graph with x-axis labeled hours and y-axis labeled dollars; a straight line rises diagonally from the origin, showing a positive linear relationship between hours and dollars. 		B.
 A simple line graph with hours labeled on the y-axis and dollars on the x-axis. The line slopes upward, showing hours increasing as dollars increase. 		C.
 A graph with hours on the x-axis and dollars on the y-axis shows a dotted upward-sloping line, indicating an increase in dollars as hours increase. 		D.
 A line graph with dollars on the vertical axis and hours on the horizontal axis. The line slopes downward, indicating that as hours increase, dollars decrease.
Different line graphs illustrating various relationships between hours and dollars.

Compare your answer: Your answer may vary, but here are some sample responses:

  • A is the only graph that intersects the vertical axis at 0 (or that starts at the origin).
  • B is the only graph where the horizontal axis represents dollars and the vertical axis represents hours.
  • C is the only graph that is discrete, showing plotted points (that lie along a line) instead of a continuous line.
  • D is the only graph with a negative slope (or that slants downward from left to right).