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Hitman42 [59]
3 years ago
6

3a. Write an equation in slope-intercept form of a line that passes through (2,1) and (6,-5).

Mathematics
1 answer:
eimsori [14]3 years ago
5 0

Answer:

y =- 3/2x + 4

Step-by-step explanation:

(2,1) and (6,-5).\\x_1 = 2\\x_2 = 6\\y_1 =1\\y_2 =-5\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-1}{x-2} = \frac{-5-1}{6-2}\\\\\frac{y-1}{x-2} = \frac{-6}{4} \\Cross-Multiply\\4(y-1) = -6(x-2)\\4y-4=-6x+12\\4y =-6x+12+4\\4y = -6x+16\\Divide-  through-by ; 4\\\frac{4y = -6x+16}{4} \\\\y = -\frac{3}{2} x +4

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Find the value of x so that the function has the given value.
nataly862011 [7]

For h(x) = -7x + 10, x =1

For r(x) = 4/5x+ 7 , x = -15

Step-by-step explanation:

in order to find the value of x on which the functions will have given values, we will put the functions equal to the given values

So,

<u>h(x) = -7x + 10; h(x) = 3</u>

h(x) = -7x+10\\3 = -7x+10\\3-10 = -7x+10-10\\-7 = -7x

Dividing both sides by -7

\frac{-7x}{-7} = \frac{-7}{-7}\\x = 1

<u>r(x) =  4/5x+7; r(x) = -5</u>

r(x) = \frac{4}{5}x +7\\-5 = \frac{4}{5}x +7\\-5-7 = \frac{4}{5}x\\-12 = \frac{4}{5}x\\x = -12 * \frac{5}{4}\\x = -15

<u></u>

Keywords: Functions

Learn more about functions at:

  • brainly.com/question/1406585
  • brainly.com/question/1414350

#LearnwithBrainly

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hope this helps!

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