Question

HEELLPP HURYY PLEASE

The ordered pairs for two points are listed in the table. What is the equation, in slope-intercept form, of the line that contains these points?
A. y = -6x + 2
B. y = -6x - 2
C. y = -2x + 6
D. y = -2x - 6

Answer 1

D) y = -2x - 6

Explanation:

Given:

• 
  `\mathsf{(x_1,y_1)=(3,-12)}`
• 
  `\mathsf{(x_2,y_2)=(-3,0)}`

`\mathsf{slope=(y_2-y_1)/(x_2-x_1)=(0--12)/(-3-3)=-2}`

Using the point-slope form of a linear equation:
`\mathsf{y-y_1=m(x-x_1)}`

`\implies \mathsf{y-(-12)=-2(x-3)}`

`\implies \mathsf{y=-2x-6}`