$(-8,2)=(x_1 ,y_1)\\(-4 ,-3) = (x_2 ,y_2)\\\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-2}{x-(-8)}= \frac{-3-2}{-4-(-8)}\\ \\\frac{y-2}{x+8}= \frac{-5}{-4+8} \\ \\\\\frac{y-2}{x+8} = \frac{-5}{4}\\ \\Cross\:Multiply \\4(y-2) = -5(x+8)\\\\4y-8 =- 5x-40\\\\4y = -5x-40+8\\\\4y =- 5x-32\\\\\frac{4y}{4} = \frac{-5x}{4} + \frac{-32}{4} \\\\y = -\frac{5}{4}x-8$

3 0

2 years ago

Solve for c: 2(4c-7) is greater than or equal to 8(c-3)

loris [4]

$2(4c-7)\geq8(c-3)\ \ \ \ |\text{use distributive property}\\\\(2)(4c)-(2)(7)\geq(8)(c)-(8)(3)\\\\8c-14\geq8c-24\ \ \ \ |-8c\\\\-14\geq-24\ \ \ TRUE\\\\\text{therefore your answer is}\ x\in\mathbb{R}\ (all\ real\ numbers)$

3 0

2 years ago

Is this linear, exponential, or quadratic?

Lady_Fox [76]

Linear. Each increase of 1 in x means a decrease of 3 in y, so it has a consistent slope of -3

5 0

2 years ago

Three times the difference of a number and 5 is equal to 12. Which of the following is the number ?

Rufina [12.5K]

Answer:

the answer is D (9)

Step-by-step explanation:

3(n-5)=12

3n-15=12

add 15 on both sides

3n=27

divide both sides by 3

n=9

5 0

3 years ago