Here are the equations for each problem on the worksheet, written in both slope-intercept form ($y = mx + b$) and point-slope form ($y - y_1 = m(x - x_1)$).
1. Point: $(-2, 6)$, Slope: $-3$
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Slope-Intercept Form: $y = -3x$
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Point-Slope Form: $y - 6 = -3(x + 2)$
2. Point: $(2, -1)$, Slope: $2$
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Slope-Intercept Form: $y = 2x - 5$
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Point-Slope Form: $y + 1 = 2(x - 2)$
3. Point: $(5, 4)$, Slope: $-1$
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Slope-Intercept Form: $y = -x + 9$
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Point-Slope Form: $y - 4 = -(x - 5)$
4. Point: $(-4, 6)$, Slope: $-2$
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Slope-Intercept Form: $y = -2x - 2$
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Point-Slope Form: $y - 6 = -2(x + 4)$
5. Point: $(3, -2)$, Slope: $\frac{1}{2}$
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Slope-Intercept Form: $y = \frac{1}{2}x - \frac{7}{2}$ (or $y = 0.5x - 3.5$)
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Point-Slope Form: $y + 2 = \frac{1}{2}(x - 3)$
6. Point: $(-1, -3)$, Slope: $4$
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Slope-Intercept Form: $y = 4x + 1$
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Point-Slope Form: $y + 3 = 4(x + 1)$
7. Point: $(-2, 6)$, Slope: $2$
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Slope-Intercept Form: $y = 2x + 10$
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Point-Slope Form: $y - 6 = 2(x + 2)$
8. Point: $(-1, 4)$, Slope: $-1$
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Slope-Intercept Form: $y = -x + 3$
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Point-Slope Form: $y - 4 = -(x + 1)$
9. Point: $(-1, -2)$, Slope: $\frac{1}{2}$
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Slope-Intercept Form: $y = \frac{1}{2}x - \frac{3}{2}$ (or $y = 0.5x - 1.5$)
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Point-Slope Form: $y + 2 = \frac{1}{2}(x + 1)$
Parent Tip: Review the logic above to help your child master the concept of find the equation of a line given two points worksheet.
