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topjm [15]
3 years ago
7

Write the slope-intercept form of the line that passes through (-10,17) and (5,-4)

Mathematics
1 answer:
luda_lava [24]3 years ago
3 0

Answer:

y = 7/5 x + 31

Step-by-step explanation:

To find the slope, we need to use the formula

m = (y2-y1)/(x2-x1)

m =(-4-17)/(5- -10)

   = -21/(5+10)

  = 21/15

Divide the top and bottom by 3.

  = 7/5

The slope is 7/5.


Using the point slope form of the equation,

y-y1 = m(x-x1)

y-17 = 7/5 (x--10)

y-17 = 7/5(x+10)

Distribute the 7/5 ths.

y-17 = 7/5 x + 7/5*10

y-17 = 7/5 x +14

Add 17 to each side

y = 7/5 x + 14 + 17

y = 7/5 x + 31


This is in slope intercept form, with the slope  being 7/5 and the y intercept of 31

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Given the function LaTeX: f\left(x\right)=-5x^2-x+20f ( x ) = − 5 x 2 − x + 20, find LaTeX: f\left(2\right)f ( 2 ). Group of ans
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The value of f(2) is -2 ⇒ 1st answer

Step-by-step explanation:

The form of the quadratic function is;

f(x) = ax² + bx + c, where

  • a is the coefficient of x²
  • b is the coefficient of x
  • c is the numerical term
  • x is the domain of the function and f(x) is the range of the function

∵ f(x) = -5x² - x + 20

- f(2) means value f(x) at x = 2

∵ x = 2

- Substitute x in the function by 2 to find f(2)

∵ f(2) = -5(2)² - (2) + 20

∴ f(2) = -5(4) - 2 + 20

∴ f(2) = -20 - 2 + 20

∴ f(2) = -2

The value of f(2) is -2

Learn more:

You can learn more about the function in brainly.com/question/12363217

#LearnwithBrainly

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