To find the slope and y-intercept for each equation, we look at the
slope-intercept form of a linear equation:
>
y = mx + b
Where:
-
m is the
slope
-
b is the
y-intercept (the value of y when x = 0)
We just need to match each given equation to this form and pick out m and b.
Let’s go one by one:
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1) y = -5x + 6
→ Slope (m) = -5
→ Y-intercept (b) = 6
2) y = 3x - 2
→ Slope = 3
→ Y-intercept = -2
3) y = -2x - 4
→ Slope = -2
→ Y-intercept = -4
4) y = 8x + 1
→ Slope = 8
→ Y-intercept = 1
5) y = 5x - 3
→ Slope = 5
→ Y-intercept = -3
6) y = -3x - 9
→ Slope = -3
→ Y-intercept = -9
7) y = 7x + 2
→ Slope = 7
→ Y-intercept = 2
8) y = -x + 6
Note: “-x” means “-1x”
→ Slope = -1
→ Y-intercept = 6
9) y = -4x + 7
→ Slope = -4
→ Y-intercept = 7
10) y = -6x - 8
→ Slope = -6
→ Y-intercept = -8
11) y = 8x - 5
→ Slope = 8
→ Y-intercept = -5
12) y = 9x + 3
→ Slope = 9
→ Y-intercept = 3
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All equations are already in slope-intercept form, so no rearranging needed. Just read off the numbers!
Final Answer:
1) Slope: -5, Y-intercept: 6
2) Slope: 3, Y-intercept: -2
3) Slope: -2, Y-intercept: -4
4) Slope: 8, Y-intercept: 1
5) Slope: 5, Y-intercept: -3
6) Slope: -3, Y-intercept: -9
7) Slope: 7, Y-intercept: 2
8) Slope: -1, Y-intercept: 6
9) Slope: -4, Y-intercept: 7
10) Slope: -6, Y-intercept: -8
11) Slope: 8, Y-intercept: -5
12) Slope: 9, Y-intercept: 3
Parent Tip: Review the logic above to help your child master the concept of finding slope and y intercept from an equation worksheet.
