Skip to lesson

Choose “Save as PDF” in the print dialog to keep a copy.

Cogito

Integrated Math 1 · Chapter 2 · Lesson 2

Practice Worksheet

Forms of a Linear Equation

Three ways to write the same line.

12 problems · about 21 minutes · A-CED.A.2, F-IF.C.7

NameDate

Figure — use these to answer the problems

Change m and b separately. One tilts the line, the other slides it up and down.
-10-10-5-5551010
y = 2x − 1
m, the slope2
b, the y-intercept-1
Figure 1

Warm Up

Straightforward practice. Get the method working first.

5 problems

  1. Slope 2 through (3, 10), as y = 2x + b. What is b?

    Answer

  2. How do you convert any form to slope-intercept form?

    • Solve the equation for y.
    • Graph it and read the slope.

  3. y = 5x + 2. What is the slope?

    Answer

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

    Answer

  5. Slope 2 through (0, 5). What is b?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. Slope 4 through (1, 10), as y = 4x + b. What is b?

    Answer

  2. 2x + y = 7 solved for y gives y = −2x + c. What is c?

    Answer

  3. Which form can describe a vertical line? 1 slope-intercept, 2 standard.

    Answer

Stretch Yourself

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

4 problems

  1. Match each form with what it makes easiest.

    Draw a line from each item on the left to its match on the right.

    • Slope-intercept form
    • Point-slope form
    • Standard form
    • Graphing straight from the equation
    • Building a line from a point and a slope
    • Handling vertical lines

  2. Slope −3 through (2, 1), as y = −3x + b. What is b?

    Answer

  3. The Intercept

    y = 4x − 9. What is the y-intercept?

    Answer

  4. The Line

    Slope 3 through (2, 7), written as y = 3x + b. What is b?

    Answer