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Sonbull [250]
3 years ago
9

How do you find the Slope of a line?

Mathematics
2 answers:
lord [1]3 years ago
8 0

find two points on a line and subtract the y values over the x values.

\frac{y_{1}- y_{2}  }{x_{1} - x_{2}}

here's an example. let's use the points (2, 4) and (4, 8)

\frac{8-4}{4-2}

simplify.

\frac{4}{2} = \frac{2}{1} = 2

so, the slope for this line would be 2.

i hope this was helpful, have a great day!

UNO [17]3 years ago
4 0

You find the slope of the line by using the formula \frac{y2-y1}{x2-x1} where x1 and y1 is the first point, and x2 and y2 are the second point.

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<em>Answer</em>

B) y = 3

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Isolating x from equation 1:

\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}

Substituting equation 3 into equation 2 and solving for y:

\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}

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