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Cogito

Algebra 1 · Chapter 4 · Lesson 3

Practice Worksheet

Writing the Equation of a Line

From a slope and a point, or from two points.

11 problems · about 23 minutes · A-CED.A.2, F-LE.A.2

NameDate

Figure — use these to answer the problems

Set the slope and the intercept and read the line they describe.
-10-10-5-5551010
y = 3x + 2
Slope m3
Intercept b2
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Slope 3 through (2, 10). What is b?

    Answer

  2. Slope 5 through (1, 9). What is b?

    Answer

  3. Slope −2 through (3, 1). What is b?

    Answer

  4. Through (0, 5) and (2, 11). What is the slope?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. Same two points. What is b?

    Answer

  2. y = 4x + 7. What is y at x = 2?

    Answer

  3. Order the steps for writing a line through two points.

    Write 1 to 4 in the boxes to put these in order.

    • Compute the slope
    • Substitute one point into y = mx + b
    • Solve for b
    • Check with the other point

Stretch Yourself

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

4 problems

  1. Slope 0 through (4, 9). What is b?

    Answer

  2. Through (1, 4) and (3, 10). What is the slope?

    Answer

  3. Finding b

    Slope 2 through (3, 11). What is b?

    Answer

  4. Through the Origin

    Slope 4 through (0, 0). What is b?

    Answer