ahmedmzohir ahmedmzohir
  • 08-05-2021
  • Mathematics
contestada

The equation of the line passing through the points (−1, 2) and (4, 0) is given by ax + by = 16. What is the value of b?

Respuesta :

abhi569
abhi569 abhi569
  • 08-05-2021

Answer:

8/5

Step-by-step explanation:

Slope of the line = (-1-4)/(2-0)= -5/2

Equation of the line :

=> y - y1 = m(x - x1)

=> y - 0 = (-5/2)(x - 4)

=> 2(y - 0) = - 5x + 20

=> 2y + 5x = 20

To make the RHS 16, divide both sides by 20 and multiply by 16:

=> (2y/20)*16 + (5x/20)*16 = (20/20)*16

=> 8y/5 + 4x = 16

compare the equation with ax + by = 16 for y, b = 8/5

Answer Link

Otras preguntas

Order the following first to last: Bill of Rights Declaration of Independence Articles of Confederation United States Constitution
Which expressions are equivalent to 4⋅(7⋅y) ? Drag and drop the equivalent expressions into the box. (7⋅y)⋅44⋅7+4⋅y(4⋅7)⋅y28y4⋅7⋅4⋅y
Which organization worked for a Constitutional amendment enforcing prohibition? National Women’s Suffrage Association National Association of Colored Wome
Which of the following words is an example of onomatopoeia? climb clap close claw
need help with line slope formula
Why did Germany’s economy nosedive following world war 1
Find the measure of angle N. 150° 8° 90° 294°
define selective borrowing. how does it apply to Japan
plz help me need asap !111!!!!!!!!!!!!!!!!!!!!!! will branliest
what was the primary pull factor for people leaving England to settle in North America