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Cogito

Algebra 1 · Chapter 4 · Lesson 5

Practice Worksheet

Intercepts and Standard Form

Where the line meets each axis.

11 problems · about 22 minutes · A-CED.A.2, F-IF.C.7

NameDate

Figure — use these to answer the problems

Watch where the line crosses each axis as you change it.
-10-10-5-5551010
y = -2x + 6
Slope-2
y-intercept6
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 2x + 5y = 10. x-intercept?

    Answer

  2. x + y = 7. x-intercept?

    Answer

  3. 3x + y = 9. y-intercept?

    Answer

  4. 3x + y = 9. x-intercept?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. y = 5x − 20. x-intercept?

    Answer

  2. y = 5x − 20. y-intercept?

    Answer

  3. How many points are needed to draw a line?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

4 problems

  1. 4x + 2y = 16. y-intercept?

    Answer

  2. Select every true statement about intercepts.

    • At the x-intercept, y is zero.
    • Every line has exactly one x-intercept.
    • In y = mx + b, the y-intercept is b.
    • Intercepts cannot be negative.
    • Tick every box that applies.

  3. Crossing the x-Axis

    2x + 4y = 8. What is the x-intercept?

    Answer

  4. Crossing the y-Axis

    Same equation. What is the y-intercept?

    Answer