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Natasha2012 [34]
3 years ago
7

What is the slope of the line that passes through the points (2, 8) and (6, 12)?

Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
6 0
Slope = (y2 - y1) / (x2 - x1)
set 1 : (2,8)....x1 = 2 and y1 = 8
set 2 : (6,12)...x2 = 6 and y2 = 12
now we sub
slope = (12 - 8) / (6 - 2) = 4/4 = 1 <===

vazorg [7]3 years ago
4 0
The slope of the line is positive 1
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5/6 of Java’s pet are cats. She has 90 pets in total. 4/5 of the cats are calico. How many pets are calico pets
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well, Java has 90 pets total, 5/6 of those are cats, namely (5/6)*90 are cats.

we also know that 4/5 of her cats are calico, namely

\bf \stackrel{\frac{5}{6}\textit{ of a total of 90}}{\left( \cfrac{5}{6}\cdot 90 \right)}\implies \cfrac{5\cdot \stackrel{15}{~~\begin{matrix} 90 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 75 ~\hfill \stackrel{\frac{4}{5}\textit{ of 75 cats}}{\cfrac{4}{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \stackrel{15}{~~\begin{matrix} 75 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies 60

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pickupchik [31]

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Step-by-step explanation:

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elena55 [62]

Answer:

Undefined

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
Find the equation of a line that passes through the points (1,-5) and (3,-6).
sdas [7]

Answer:

y = - \frac{1}{2} x - \frac{9}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (1, - 5) and (x₂, y₂ ) = (3, - 6)

m = \frac{-6+5}{3=2} = - \frac{1}{2} , then

y = - \frac{1}{2} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, - 5 ) , then

- 5 = - \frac{1}{2} + c ⇒ c = - 5 + \frac{1}{2} = - \frac{9}{2}

y = - \frac{1}{2} x - \frac{9}{2} ← equation of line

7 0
2 years ago
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