Determine the equation of the line. Express the final equation in standard form Ax+By+C=0 HOw do i do this?

horizontal line through (2,-4)





the vertical line through (2,-9)








*Plz don't just give me the answer, cuz thats not going to help me understand how you got the answer...can you explain how you get each step?*

Determine the equation of the line. Express the final equation in standard form Ax+By+C=0 HOw do i do this?
in a horizontal line, all values of x will produce the same y


therefore, the coefficient of x should be zero. a horizontal line also has no slope which means that the coefficient of x has to be zero. In this case, A has to equal 0.





Also, because we know the horizontal line goes through -4, we know that -C/B = -4. When you rearrange the equation to solve for y, it looks like By = -C and then y = -C/B and since y always equals -4, -C/B = -4.





On the vertical line, its a little harder, you will have an infinite slope, which means you can't really have a full equation. It will look more like 1x + 0y - 2 = 0
Reply:Horizontal lines are in the form y = a number. In the point (2, -4) you can see that y = 4


Vertical lines are in the form x = a number. In the point (2, -9) you can see that x = 2


In standard form they would be


0x+y-4 = 0


x+0y-2 = 0