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3 years ago

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What is the slope intercept form of a line that passes through (-1,-5) and (4,-2)

1 answer:

Hatshy [7]3 years ago

3 0

$\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-1)}}}\implies \cfrac{-2+5}{4+1}\implies \cfrac{3}{5}$

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Pls help me in this i really need help :( :)

Andrews [41]

Hello and Good Morning/Afternoon:

<u>Let's take this problem step-by-step:</u>

<u>First off, let's write the line in point-slope form:</u>

$\rm \hookrightarrow (y-y_0)=m(x-x_0)$

(x₀, y₀) any random point on the line
'm' is the value of the slope

<u>Let's calculate the slope:</u>

$\rm \hookrightarrow Slope = \frac{y_2-y_1}{x_2-x_1}$

(x₁, y₁): any random point on the line ⇒ (-2, -6)
(x₂,y₂): any random point on the line that is not (x₁, y₁) ⇒ (2, -3)

$\rm \hookrightarrow slope = \frac{-3--6}{2--2} =\frac{3}{4}$

<u>Now that we found the slope, let's put it into the point-slope form</u>

⇒ we need (x₀, y₀) ⇒ let's use (2,-3)

$(y-(-3))=\frac{3}{4} (x-2)\\y+3=\frac{3}{4} (x-2)$

<u>The equation, however, could also be put into 'slope-intercept form'</u>

⇒ gotten by isolating the 'y' variable to the left

$y = \frac{3}{4}x-\frac{9}{2}$

<u>Answer:</u> $y = \frac{3}{4}x-\frac{9}{2}$ or $y+3=\frac{3}{4} (x-2)$

*<em>Either equations work, put the one that you are the most familiar with</em>

Hope that helps!

#LearnwithBrainly

5 0

2 years ago

Help me with this question, please

anzhelika [568]

Answer:

Part 1: [ -4 = -8 ]

Part 2: Inconsistent

Step-by-step explanation:

<u>Part 1</u>

1. Move all terms that don't contain x to the right side:

3x - 6y+6y = -12+6y

= 3x = -12 + 6y

2. Isolate x:

$\frac{3x}{3} = \frac{-12+6y}{3}$

x = -4 + 2y

3. Substitute the new expression into the original:

-4 + 2y - 2y = -8

4. Simplify:

-4 + 0 = -8

[ -4 = -8 ]

<u>Part 2</u>

The two solutions are not equal in value, so, we can conclude that the system of equations has no solution, or is inconsistent.

hope this helps!

7 0

2 years ago

Are 12:14 and 60:70 equivalent ratios?<br><br> yes<br> no

NNADVOKAT [17]

Answer:

Yes, they are equalent

Step-by-step explanation:

12:14 = 6:7

60:70 =6:7

both can be simplified to 6:7

5 0

3 years ago

Devon is trying to find the unit price on a 6-pack of drinks on sale for $2.99. his sister says that at that price,each drink wo

tresset_1 [31]

It is not true

6pack = 6 pieces ?

6 pieces for $2.00 = $12 not $2.99

Devon should divide $2.99/6 ~~ $0.49

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3 years ago

Paul had 3.8 pounds of bananas and 2.1 pounds of apples. About how much fruit does he have in all?

snow_tiger [21]

Answer:

5.9 pounds

Step-by-step explanation:

3.8 + 2.1 = 5.9

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3 years ago