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2 years ago

A line passes through the given points. Write an equation for the line in

Mathematics

2 answers:

Liono4ka [1.6K]2 years ago

8 0

4-9=5

-2--8=6

y=mx+b

slope/mx=6/1

base/y intercept=5

d1i1m1o1n [39]2 years ago

4 0

Answer: The equation for the line in point-slope form : $(y+2)=\dfrac{-6}{5}(x-4)$

The equation in slope-intercept form : $y=\dfrac{-6}{5}x+\dfrac{14}{5}$

Step-by-step explanation:

The equation of a line in point slope form passing through points (a,b) and (c,d) is given by :-

$(y-b)=\dfrac{d-b}{c-a}(x-a)$

Now, the point slope form passing through points (4, -2) and (9, -8) is given by :-

$(y-(-2))=\dfrac{-8-(-2)}{9-4}(x-4)\\\\\Rightarrow (y+2)=\dfrac{-6}{5}(x-4)$

The equation for the line in point-slope form : $(y+2)=\dfrac{-6}{5}(x-4)$

Further if we simplify the equation , we get

$y+2=\dfrac{-6}{5}x+\dfrac{24}{5}\\\\\Rightarrow\ y=\dfrac{-6}{5}x+\dfrac{24}{5}-2\\\\\Rightarrow\ y=\dfrac{-6}{5}x+\dfrac{14}{5}$

The equation in slope-intercept form : $y=\dfrac{-6}{5}x+\dfrac{14}{5}$

You might be interested in

What is the slope of (-7, 0), (-7, -6)?

Bess [88]

Answer:

A line passes (-7, 0), (-7, -6).

These two passed points have same x-component (x = -7).

=> This is the line which has equation: x = -7.

This is a vertical line (parallel with y axis) and the slope is undefined.

Hope this helps!

3 0

2 years ago

Ashley uses 1/4 package of raisin for a fruit cake. She then uses 1/9 of the remainder for muffins. What fraction of the package

Flura [38]

$\text {Fruit cake = } \dfrac{1}{4}$

$\text {Raisin left = } 1 - \dfrac{1}{4} = \dfrac{4}{4} - \dfrac{1}{4} = \dfrac{3}{4}$

$\text {Muffins = } \dfrac{1}{9} \times \dfrac{3}{4} = \dfrac{3}{36} = \dfrac{1}{12}$

$\text {Raisin left = } \dfrac{3}{4} - \dfrac{1}{12} =\dfrac{9}{12} - \dfrac{1}{12} = \dfrac{8}{12} -= \dfrac{2}{3}$

Answer: She has 2/3 of the package left.

7 0

2 years ago

Read 2 more answers

Find the coordinates of the midpoint of a segment with the endpoints (16,5) & (28,-13)

frutty [35]

$\text{The formula of the midpoint of a segment with the end points:}\\\\A(x_A;\ y_A)\ \text{and}\ B(x_B;\ y_B)\\\\M_{AB}=\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)$

$\text{We have:}\\A(16;\ 5)\to x_A=16;\ y_A=5\\B(28;\ -13)\to x_B=28;\ y_B=-13\\\\\text{substitute:}\\\\M_{AB}=\left(\dfrac{16+28}{2};\ \dfrac{5+(-13)}{2}\right)=\left(\dfrac{44}{2};\ \dfrac{-8}{2}\right)=(22;\ -4)$

7 0

2 years ago

I need help with questions 1,2, and 3. Would gratefully appreciate it (:

motikmotik

Answer:

Step-by-step explanation:

(2):

First let's organise the data:

33 miles ... x mph ... 4h - downstream

33 miles ... y mph ... 7h - up the stream

x = 33/4 = 8.25 mph

y = 33/7 = 4.71 mph

(3)

P(x) = $x^2 - 2x - 3$

To find the amount of key rings sold when the profit is 5000$ we have to equate P(x) with 5, because in the problem the profit of the key rings is displayed in terms of thousands.

$x^2 - 2x - 3 = 5\\x^2 - 2x - 8 = 0\\x_1 = 4, x_2 = -2$

Since the number of keyrings sold has to be positive the only answer is 4 thousand key rings.

3 0

3 years ago

Solve for x 4x^2+28x+49=0

barxatty [35]

4 x^2 + 28 x + 49 = 0
Divide both sides by 4:
x^2 + 7 x + 49/4 = 0
Write the left hand side as a square:
(x + 7/2)^2 = 0
Take the square root of both sides:
x + 7/2 = 0
Subtract 7/2 from both sides:
Answer: x = -7/2

4 0

2 years ago