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Y-Intercept Answer Key

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Y-Intercept Answer Key

Find each y-intercept. Give a value or an ordered pair when requested. Show your reasoning for written-response questions.

Identify the Y-Intercept

The y-intercept is the y-value where a line crosses the y-axis. In slope-intercept form, y = mx + b, it is b.

1.For the line y = 4x - 5, what is the y-intercept?
  • -5
  • 4
  • 5
  • (0, 4)
2.Find the y-intercept of 3x + y = 8. Give your answer as a value and as an ordered pair.
3.A line passes through (0, 6) and (4, 10). What is its y-intercept?
4.Where does the line y = 2x + 1 cross the y-axis? Write the point as an ordered pair.

Compare and Shift Lines

Use the equations to think about how changing the y-intercept moves a line.

5.The equation y = 2x + b changes from b = -1 to b = 4. How does the line move, and does its slope change?
6.The line y = x + 5 is shifted down 7 units without changing its slope. Write the new equation.
7.Order these lines from highest to lowest on the graph: y = x - 3, y = x + 2, and y = x.
-4-2024

Use the Y-Intercept

Connect an equation's y-intercept to a point on the line or to a starting amount in a situation.

8.A line has slope 3 and passes through (0, -4). Write its equation in the form y = mx + b.
9.At a local bakery, Camila packs cookies into boxes. The total number of cookies is modeled by y = 6x + 12, where x is the number of boxes filled and y is the number of cookies accounted for. What does the y-intercept mean in this situation?
10.A line with equation y = 2x + b passes through (3, 11). Find b, then state the y-intercept as an ordered pair.

2 printable pages

  • Y-Intercept Answer Key, page 1 of 2: Identify the Y-Intercept, Compare and Shift Lines

    Page 1

  • Y-Intercept Answer Key, page 2 of 2: Use the Y-Intercept

    Page 2

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