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steposvetlana [31]
3 years ago
5

Find the equation of the line passing through the points (8,-16) and (1,5)

Mathematics
2 answers:
nata0808 [166]3 years ago
8 0

Answer:

y = -3x + 8

Step-by-step explanation:

First, find the slope using rise/run

21/-7

= -3

Then, find the y-intercept by using the slope and by plugging in a point

5 = -3(1) + b

5 = -3 + b

8 = b

So, the equation will be:

y = -3x + 8

balu736 [363]3 years ago
8 0

Hey there! :)

Answer:

y = -3x + 8.

Step-by-step explanation:

Use the slope formula to solve for the slope:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in the coordinates:

m =  \frac{-16-5}{8 - 1}

Simplify:

m =  \frac{-21}{7}

m = -3.

Plug in the x and y value, along with the slope into the slope-intercept formula (y = mx + b) to solve for b:

5 = -3(1) + b

5 = -3 + b

b = 8.

Rewrite the equation:

y = -3x + 8.

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This is a problem that I have to solve with matrixes, Please show me all of the work. I will award brainliest.
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Answer:

The total points by Washington High School =  162 points

The total points by  Johnson High School   =  159 points

The total points by  Roosevelt High School =  108 points

The total points by  Lewis High School =  196 points

Washington High School  has WON the meet.

Johnson High School came second.

The difference in the points= 2 points

Step-by-step explanation:

Points awarded for first place = 10 points

Points awarded for second place = 8 points

Points awarded for third place = 7 points

About Washington High School

10 first places  = 10 x ( 10) = 100 points

6 second places  = 6 x ( 8) = 48 points

2 first places  = 2 x ( 7) = 14 points

So, the total points by  Washington High School  = Sum of all points  

=  100 + 48 + 14   =  162 points     .............. (1)

About Johnson High School

8 first places  = 8 x ( 10) = 80 points

9 second places  = 9 x ( 8) = 72 points

1 first places  = 1 x ( 7) = 7 points

So, the total points by  Johnson High School  = Sum of all points  

=  80 + 72 + 7   =  159 points    .............. (2)

About Roosevelt High School

4 first places  = 4 x ( 10) = 40 points

5 second places  = 5 x ( 8) = 40 points

4 first places  = 4 x ( 7) = 28 points

So, the total points by  Roosevelt High School  = Sum of all points  

=  40 + 40 + 28   =  108 points  .............. (3)

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3 first places  = 3 x ( 10) = 30 points

3 second places  = 3 x ( 8) = 24 points

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=  30 + 42 + 24   =  96 points      .............. (4)

Now, comparing all four equation, we get that:

Washington High School  has WON the meet.

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The difference in the points  = 162 - 159 = 2 points

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Answer:

60

Step-by-step explanation:

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