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3 years ago

Find the slope of the line that passes through (10, 8) and (1, 4).

Mathematics

2 answers:

oksian1 [2.3K]3 years ago

6 0

Answer:

Step-by-step explanation:

1-10 = -9

-4/-9 simplifies to 4/9

maria [59]3 years ago

5 0

2/9 is the slope

Explanation:
8-4 = 4 over 10-1 = 9

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Write an equation in slope intercept form that passes through -2, 3 and Is parallel to the line with equation 3X +2y=6

soldier1979 [14.2K]

The equation of line is: $y=-\frac{3}{2}x$ as the y-intercept is zero

Step-by-step explanation:

Given

(-2,3)

Equation of line => 3x+2y=6

Converting the equation in slope intercept form

$3x+2y=6\\2y=-3x+6\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=-\frac{3}{2}x+\frac{6}{2}\\y=-\frac{3}{2}x+3$

The co-efiicient of x is the slope of the fiven line

So,

m=-3/2

The line parallel to given line will have the same slope as slopes of two parallel lines are equal

Now,

Slope-intercept form is:

$y=mx+b$

Putting the value of slope

$y=-\frac{3}{2}x+b$

to find the value of b, put (-2,3) in the equation

$3=-\frac{3}{2}(-2)+b\\3=3+b\\b=0\\$

Putting the value of b and m

$y=-\frac{3}{2}x+0\\y=-\frac{3}{2}x$

Hence,

The equation of line is: $y=-\frac{3}{2}x$ as the y-intercept is zero

Keywords: Slope-intercept form, Slope

Learn more about slope-intercept form at:

#LearnwithBrainly

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3 years ago

4x^2 = 92 + 7x solve the equation using the guadratic formula, show all work

katovenus [111]

$4x^2=92+7x\ \ \ \ |-4x^2\\\\-4x^2+7x+92=0\\\\a=-4;\ b=7;\ c=92\\\\b^2-4ac=7^2-4\cdot(-4)\cdot92=49+1472=1521\\\\\sqrt{b^2-4ac}=\sqrt{1521}=39\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a};\ x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_1=\dfrac{-7-39}{2\cdot(-4)}=\dfrac{-46}{-8}=\dfrac{23}{4}\\\\x_2=\dfrac{-7+39}{2\cdot(-4)}=\dfrac{32}{-8}=-4$

$\text{Answer:}\ A.\ \left\{\dfrac{23}{4};\ -4\right\}$

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4 years ago

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lutik1710 [3]

The answer is 250 points, to find this just divide by 2 three times.

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4 years ago

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What is the distance between point (7,9) and point (-2,7)

skad [1K]

Answer:

9.21954445729

Step-by-step explanation:

use distance formula

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AnnZ [28]

Answer: mmm

Step-by-step explanation:

mmm

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