Question

Assignment

Line AB goes through the points A (0, -4) and B (6,2). Which equation represents line
y - 4 = 3x
y-2 = 3(x – 6)
y + 4 = x
y + 6 = x - 2

Answer 1

y + 4 = x

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept → (0, b).

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have the points A(0, -4) → b = -4 and B(6, 2).

Calculate the slope:

`m=(2-(-4))/(6-0)=(6)/(6)=1`

Put the value of m and of b to the equation:

`y=1x-4` add 4 to both sides

`y+4=x`