Question

Write the equation of the line that passes through the given points.
(0, -1) and (-5.-9)

Answer 1

`y=(8)/(5)x-1`

Explanation:

Recall:

• Slope ->
  `m=(Rise)/(Run)=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1)`
• Slope-intercept form ->
  `y=mx+b`
• Y-intercept ->
  `b`

Given:

• 
  `(x_1,y_1) = (0,-1)`
• 
  `(x_2,y_2) = (-5,-9)`

Slope calculation:

`Slope=(y_2-y_1)/(x_2-x_1)=(-9-(-1))/(-5-0)=(-9+1)/(-5)=-(8)/(5)=(8)/(5)`

Y-intercept calculation:

`y=(8)/(5)x+b`

`-1=(8)/(5)(0)+b`

`-1=0+b`

`-1=b`

Final equation:

`y=(8)/(5)x-1`