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8th grade Write y = mx + b from a slope and a point, a y-intercept and a point, or two points worksheet

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Write y = mx + b from a slope and a point, a y-intercept and a point, or two points

Grade 8 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

  1. Going back from x = 3 to x = 0 is 3 steps, and each step changes y by 2. Jun's math-club line has slope 2 and passes through (3, 11). The y-intercept b is the output at x = 0. What is b?

  2. Going back from x = 2 to x = 0 is 2 steps, and each step changes y by 3. Kira draws a line with slope 3 through (2, 10), and the pencil nods. The y-intercept b is the output at x = 0. What is b?

  3. Going back from x = 3 to x = 0 is 3 steps, and each step changes y by 4. A line on Luz's graph paper has slope 4 and passes through (3, 14). The y-intercept b is the output at x = 0. What is b?

  4. Read this first

    Input–output table

    xy
    04
    210

    From x = 0 to x = 2 is 2 steps.

  5. Noah's line crosses the y-axis at 4 and passes through (2, 10). What is its slope?

  6. Pia's line starts at 3 when x = 0 and passes through (2, 11). What is its slope?

  7. From x = 0 to x = 4 is 4 steps. Ren draws a line with y-intercept 6 through (4, 14) (the ruler is wobbling). What is its slope?

  8. From x = 0 to x = 5 is 5 steps. Tala's line has y-intercept 2 and passes through (5, 17). What is its slope?

  9. Input–output table

    xy
    05
    18
    211
    314
  10. Zee's line has slope 3 and passes through (1, 8). The table already steps back to x = 0. What rule, written as y = mx + b, gives the line?

  11. Bo's line has slope 4 and passes through (2, 11). The table already steps back to x = 0. What rule, written as y = mx + b, gives the line?

  12. Esme's line has slope 5 and passes through (3, 19). The table already steps back to x = 0. What rule, written as y = mx + b, gives the line?

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8th grade Write y = mx + b from a slope and a point, a y-intercept and a point, or two points worksheet – printable
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About this worksheet

Write y = mx + b from a slope and a point, a y-intercept and a point, or two points. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the y-intercept of a line from its slope and one point, by stepping back to x = 0.
  • I can find the slope from a y-intercept and a point, and from two points.
  • I can write y = mx + b from any of these, and find y for another x.

Standard: 8.F.B.4 (a function from a description or two (x, y) values), 8.EE.B.6 (partial)

Words to know

rule: y = mx + b: every row of the table obeys it.

slope m: Output change ÷ input change: the change in y for 1 more x.

y-intercept b: The output at x = 0: the start.

step back: Use the slope to work out the row for x = 0.

point: A pair (x, y): one row of the table.

Common mistakes

Your child used the y of the point as the start.

Your child added the steps instead of taking them off.

Your child took off the slope only once.

What to say

Ask: is that point at x = 0, or further along the line?

Ask: going back to x = 0, does y get bigger or smaller for a rising line?

Ask: how many steps is it from the point back to x = 0?

Questions parents ask

What is the most common mistake with write y = mx + b from a slope and a point, a y-intercept and a point, or two points?

Your child used the y of the point as the start.

How can I help my child with write y = mx + b from a slope and a point, a y-intercept and a point, or two points?

Ask: is that point at x = 0, or further along the line?

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

See all grade 8 math

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