Question

Needed asap! points!

Write an equation of the line in standard form with the given slope through the given point.

13. slope = -3, (0, 0)
14. slope= 2/5,(6, 7)
15. slope = 4, (-2,-5)
16. slope = -0.5, (0, 6)

Answer 1

13.
`y=-3x`

14.
`y=(2)/(5) x+(23)/(5)`

15.
`y=4x+3`

16.
`y=-0.5x+6`

Explanation:

Step 1: Point Slope Form

• 
  `y-y_(1)=m(x-x_(1))`

Step 2: Plug in and isolate y to one side (Standard Form)

• 
  `y=mx+b`

13. m = -3 and point: (0,0)

• 
  `y-0=-3(x-0)`
• 
  `y=-3x`

14. m = 2/5 and point: (6,7)

• 
  `y-7=(2)/(5) (x-6)`
• 
  `y=(2)/(5) x-(12)/(5) +7`
• 
  `y=(2)/(5) x+(23)/(5)`

15. m = 4 and point: (-2,-5)

• 
  `y-(-5)=4(x-(-2))`
• 
  `y+5=4(x+2)`
• 
  `y=4x+8-5`
• 
  `y=4x+3`

16. m = -0.5 and point: (0,6)

• 
  `y-6=-0.5(x-0)`
• 
  `y=-0.5x+6`