Subjects algebra

Line Slopes

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Line Slopes


1. **Find the slope of each line given the equation.** 2. The slope of a line in the form $y = mx + b$ is the coefficient $m$ of $x$. 3. For equations not in the form $y = mx + b$, rearrange to isolate $y$ and identify $m$. **(a)** $y = 3x - 4$ slope $= 3$ **(b)** $y = 4x - 3$ slope $= 4$ **(c)** $y = -\frac{1}{2}x + 5$ slope $= -\frac{1}{2}$ **(d)** $y = 8 - 7x = -7x + 8$ slope $= -7$ **(e)** $y = 5x$ slope $= 5$ **(f)** $y = 5$ is horizontal, slope $= 0$ **(g)** $2y = 6x - 10 \Rightarrow y = 3x - 5$ slope $= 3$ **(h)** $2y = 10x - 6 \Rightarrow y = 5x - 3$ slope $= 5$ **(i)** $3y = -12x + 6 \Rightarrow y = -4x + 2$ slope $= -4$ **(j)** $3y = 12 - 2x \Rightarrow y = 4 - \frac{2}{3}x = -\frac{2}{3}x + 4$ slope $= -\frac{2}{3}$ **(k)** $y + x = 21 \Rightarrow y = -x + 21$ slope $= -1$ **(l)** $2x = 12 - y \Rightarrow y = 12 - 2x$ slope $= -2$ **(m)** $\frac{1}{5}y = x - 3 \Rightarrow y = 5x - 15$ slope $= 5$ **(n)** $\frac{1}{3}y = 2x - 6 \Rightarrow y = 6x - 18$ slope $= 6$ **(o)** $\frac{1}{2}y = 7 - x \Rightarrow y = 14 - 2x$ slope $= -2$ **(p)** $\frac{1}{4}y + 2x = 1 \Rightarrow \frac{1}{4}y = 1 - 2x \Rightarrow y = 4 - 8x$ slope $= -8$ **Final slopes:** (a)3, (b)4, (c)$-\frac{1}{2}$, (d)$-7$, (e)5, (f)0, (g)3, (h)5, (i)$-4$, (j)$-\frac{2}{3}$, (k)$-1$, (l)$-2$, (m)5, (n)6, (o)$-2$, (p)$-8$