How do you write the equation of a line passing through (5, -4).?

Question

I am trying to solve a puzzle and I need to write equations for a horizontal and a vertical lines passing through (5, -4) that state the slope- how would I do that?

Answer 1

For the horizontal line - this line is parallel to the x-axis and passes through the y-axis at -4. So every y-coordinate on this line is -4.
So the line is Y = -4 Slope(gradient) is 0 (zero).
Similarly, for the vertical line - this line is parallel to the y -axis and passes through the x-axis at 5. So every x-coordinate on this line is 5.
so the line is X = 5. Slope (gradient) is infinite.

Hope this helps.!!!!

Answer 2

equation of horizontal line through (5, -4):
since horizontal means completely flat, slope (m) = 0
If the line's flat, it's parellel to the x-axis, which means that at any point on the line, the y value stays the same. so look at the y-value ; it's -4 which is the y-intercept of the graph. so,

y = 0x - 4 or y = - 4

equation og vertical line through (5, -4):
Since this line is straight and parellel to the y -axis, it's slope is undefined. Also, at any point in the line, the x-value will always be the same, which is 5

x = 5

i'm not even sure if that answers your question, but i gave it a shot

Answer 3

X = 5 vertical & Y= -4 horizontal
slope of vertical line is infinite
slope of horizontal line is 0

Answer 4

um horizontal is y = 0x - 4 and slope is 0
vertical is y = x/0 + 5 slope is undefined because dividing by 0