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user100 [1]
2 years ago
8

What is an equation in point-slope form for the line that contains the points (-1, 4) and (11, -6)?

Mathematics
1 answer:
pshichka [43]2 years ago
5 0

Answer:

The equation in point-slope form is y-4=-\frac{5}{6}(x+1)

Step-by-step explanation:

Given points are;

(-1, 4) and (11, -6)

We will find the slope of the line through the given points.

Slope = m = \frac{y_2-y_1}{x_2-x_1}

m = \frac{-6-4}{11-(-1)}

m = \frac{-10}{12}

m = \frac{-5}{6}

Point slope form of a line is given by;

y-y_1=m(x-x_1)

Putting the point (-1,4) and slope in the equation

y-4=-\frac{5}{6}(x-(-1))\\y-4 =-\frac{5}{6}(x+1)

Hence,

The equation in point-slope form is y-4=-\frac{5}{6}(x+1)

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Need math help please!!
s2008m [1.1K]
Just by looking at it, 2 seems to be the correct answer. I mean if you think about it, when the triangle is split in two smaller triangles, side LN is longer than LP so that means x needs to be a small number. I could either be 2 or 1. Well if you look at the big picture, side LM is longer than LN so it’s gonna need to be bigger. If you say x=1 then you are saying 2(1) +4 = 6 (therefore LM is 6) but if you say x=2 then you are saying 2(2) +4 = 8 which makes more sense


If x=2 then you can use the Pythagorean’s theorem

a2 + b2 = c2
4^2 + b^2 = 5^2
16 + b^2 = 25
25-16= 9
b^2= 9
b= 3


Now that we know what NP is we can do Pythagorean’s theorem to figure out what side LP is (we already know it but you can do it again to check lol)

So the answer is 2
5 0
3 years ago
If 115% of a number is 460, what is 75% of that number?
Bond [772]

Answer:

300

Step-by-step explanation:

Step 1:

460/115 = x/75         Equation

Step 2:

115x = 34,500       Multiply

Step 3:

x = 34,500 ÷ 115         Divide

Answer:

x = 300

Hope This Helps :)

8 0
3 years ago
Last Friday temp at $30 over the weekend he received some money for doing his chores he now has $42 write an equation that repre
JulsSmile [24]
30+x=42 I think because it's has to equal 42 and he already has 30
6 0
3 years ago
Read 2 more answers
8miles in 1 hour write an expression of the total distance
Brilliant_brown [7]

Answer:

f(x)=1x·8= total distance

Step-by-step explanation:

f(x) is a function

1= hour

x= how many hours

8= miles

5 0
3 years ago
Read 2 more answers
What is equivlent to 15x-20
Tanzania [10]

Answer:

5(3x - 4)

Step-by-step explanation:

5(3x - 4)

use the distributive property

15x - 20

so its correct

8 0
3 years ago
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