Question

Which equation represents the line through (4, -6) and (0, 2)?

Answer 1

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)

Answer 2

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The Correct equation is :

• $y = - 2x + 2$

$\large \boxed{ \mathfrak{Explanation}}$

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) :

• $\dfrac{2 - ( - 6)}{0 - 4}$

• $\dfrac{2 + 6}{ - 4}$

• $\dfrac{8}{ - 4}$

• $- 2$

now, the equation of line will be :

• $y = mx + c$

• $y = - 2x + 2$