denisepacheco denisepacheco
  • 04-05-2018
  • Mathematics
contestada

What is the equation of the line that passes through (7, 4) and (4, -2)?
a) y = 2x - 10
b) y = -2x - 10
c) y = -2x + 18
d) y = 2x + 18

Respuesta :

apocritia
apocritia apocritia
  • 21-08-2018

Solution:

we have been asked to find the equation of the line that passes through (7, 4) and (4, -2).

First we will find the slope of the line using the formula

[tex] m=\frac{y_2-y_1}{x_2-x_1} [/tex]

Plugin the given values we get

[tex] m=\frac{-2-4}{4-7}=\frac{-6}{-3}=2 [/tex]

Now using the point slope form of a straight line

[tex] (y-y_1)=m(x-x_1) [/tex]

Plugin the values

[tex] (y-4)=2(x-7)\\
\\
y=2x-14+4\\
\\
y=2x-10\\ [/tex]

Hence the correct option is a.


Answer Link

Otras preguntas

If 52 x equals 7800 y what does 1 x equal? What is the maths equation?
wats the 60% off a prize that is $20.00
What is the probability of someone correctly guessing your Social Security number? (Assume all digits 0-9 are available for use)a
lara has a tin of peanuts cashews and pecans she will pick a second nut without looking. how many outcomes are there for her two picks?
If f(x) is 4x-3 what is (f^-1of) (10)
Six popular brands of tea are to be used in a blind taste study for consumer recognition. If three distinct brands are chosen from the six, and if the consumer
An ice cube is dropped into boiling water. How will heat flow between the water and the ice cube?
What are the characteristics of mass culture?
What was the South’s greatest concern when California applied for statehood?
How would you define psychological realism?