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Semmy [17]
3 years ago
7

What is the slope M of the line passing through the coordinates (2,1) and (-3,5)

Mathematics
2 answers:
Stolb23 [73]3 years ago
7 0

Answer:

the aswer is 4/-5 :)

Step-by-step explanation: (2,1) and (-3,5)

m=y2-y1

x2-x1

m= 5-1          4

    -3-2       = -5

   The slope is 4/-5 or- 0.8

Hope this help :)

Dominik [7]3 years ago
7 0

Answer:

The slope of the line passing through the points (2,1) and (-3,5) is 4/-5 or -0.8

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Answer:

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Step-by-step explanation:

1. Set up the equations

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  and y = the smaller number. Then

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You have a system of two equations:

\begin{cases}(1) & x - y = 16\\(2) & x = 4y - 5\end{cases}

2. Solve the equations

\begin{array}{lrcll}(3) & 4y - 5 - y & = & 16 &\text{Substituted (2) into (1)}\\& 3y - 5 & = & 16 &\text{Simplified}\\ & 3y & = & 21 &\text{Added 5 to each side}\\(4) &y & = & \mathbf{7} &\text{Divided each side by 3} \\& x - 7 & = & 16 & \text{Substituted (4) into (1)}\\& x& = & \mathbf{23} & \text{Added 7 to each side}\\\end{array}

The larger number is 23; the smaller number is 7.

3. Check

\begin{array}{rclcrcl}23 - 7& = & 16 & \qquad &23&=&4(7) - 5\\16 & = & 16 & \qquad &23& = &28 - 5\\&&& \qquad &23& = &23\\\end{array}

OK.

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