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Artist 52 [7]
3 years ago
10

Slope of line that passes through points (2,1) and (17,-17)

Mathematics
1 answer:
mojhsa [17]3 years ago
7 0

Answer: y = -1,2x + 3.4

Step-by-step explanation:

y = ax + b

(2,1)      => 1    = 2a + b (1)

(17,-17) => -17 =17a + b (2)

Using caculator Mode => 5 =>1

We get : a=- 1.2 , b = 3.4

=> y = -1.2x + 3.4

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Anyone? please i need help
arsen [322]
<span><u><em>Answer:</em></u>
y = 5x - 7

<u><em>Explanation:</em></u>
<u>The general form of the linear line in slope-intercept form is:</u>
y = mx + c
where:
m is the slope
c is the y-intercept

<u>1- getting the slope:</u>
The slope of the line can be calculated using the following formula:
m = </span>\frac{y_{2}-y_{1}}{x_{2}-x_{1}}
<span>
We are given the points:
(3,8) representing (x</span>₁<span>,y</span>₁<span>)
(2,3) representing (x</span>₂<span>,y</span>₂<span>)
Substitute with the givens in the above equation to get the slope as follows:
m = </span>\frac{3-8}{2-3}<span> = 5

<u>Therefore, the equation now became:</u>
y = 5x + c

<u>2- getting the y-intercept:</u>
To get the value of the c, we will use any of the given points, substitute in the equation we got in part 1 and solve for c. I will use point (2,3) as follows:
y = 5x + c
3 = 5(2) + c
3 = 10 + c
c = 3 - 10
c = -7

<u>Based on the above, the equation of the line is:</u>
y = 5x - 7

Hope this helps :)</span>
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2 years ago
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<span>3)shifted right 7 units</span>
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2 |2

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Answer:

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