another math problem that i need help on...help?

Question

write the equation of the horizontal line passing through the point (7,4)

Please give me some details on how you got the answer..Thanks!!

Answer 1

Since the line is horizontal, then all the y-coordinates on the line must be the same.

Since the line passes through (7, 4), which has the y-coordinate 4, then the y-coordinate of every point on the line must be 4.

Therefore, the equation is y = 4.

Answer 2

In general, the equation of a non-vertical line can be expressed as follows:

y = ax + b

where a and b are coefficients (numbers) that you must find, and x and y are coordinate variables.

For example, "y = 2x+3" is the equation of a certain line, "y = 2x+4" is the equation of a different line, etc. E.g., you define a line by selecting a value for a and a value for b.

In usual problems, some conditions are given about the line, and you have to use these condition to find what are the values of the "a" and the "b" in your equation. Let's apply this method to your problem:

we start from the general equation:

y = ax + b

we want to find a and b such that this line is HORIZONTAL and that it passes by point (7, 4)

The fact that the line is horizontal implies that y will never change (y is the vertical coordinate, so it cannot change in an horizontal line). This implies that the term "ax", that is variable, must be reduced to 0, and so we must have a = 0

that means: AS THE LINE IS HORIZONTAL, we have that a = 0

and so, our equation is reduced to:

y = b

Also, we know that the line passes by the point (7, 4), that is, we know that x = 7, y = 4 for a certain point of the line. And, as we know that the line is horizonal, we conclude that y = 4 always (remember that y never changes).

In conclusion:

y = 4

is the equation of the horizontal line that passes by the point (7, 4)

Answer 3

The horizontal line passing through point (7,4) is y = 4. A horizontal line has a slope of 0. Using the Formula for a straight line y = mx + b and inserting slope of 0 for m gives y = b. Now inserting the value of y in the given point (7,4) yields the equation y = 4.

Answer 4

Any horizontal line equation is
y = k [where k is the distance of the line from x-axis]

Passing through (7, 4)
Plug in
4 = k

Again plug in original equation
y = 4

Answer 5

(x,y)

x is the axis that horizontal
and y is the axis that goes vertical

graph (7,4) to (7,10) It should be vertical.
then graph (7,4) to (12,4) you will see that it is vertical.

So the answer is 4.

but just keep in mind if the y coordinate is the same in a line its vertical
and if the x coordinate remains the same in a line then it will be horizontal.