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Which equation represents the line through (4, -6) and (0, 2)?
y= -2x + 2
y= 2x - 2
y= 2x + 2
y= -2x - 2
Explain your answer for Brainlest

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Saninkas

Answer:

y = 2x+2

Step-by-step explanation:

find gradient by using the gradient formula (m= y2-y1÷x2-x1)

then find C

y= mx+c

the replace c and m in the equation (y=mx+c)

DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct equation is :

  • [tex]y = - 2x + 2[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

The given points are :

  • (4 , -6)

  • (0 , 2)

we can see that the y - intercept (c) is 2, from point (0 , 2)

now, let's find the slope (m) :

  • [tex] \dfrac{2 - ( - 6)}{0 - 4} [/tex]

  • [tex] \dfrac{2 + 6}{ - 4} [/tex]

  • [tex] \dfrac{8}{ - 4} [/tex]

  • [tex] - 2[/tex]

now, the equation of line will be :

  • [tex]y = mx + c[/tex]

  • [tex]y = - 2x + 2[/tex]

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