Question

Write equations of the horizontal and vertical lines that pass through the point (-3, 4).

a) Horizontal: y=4, Vertical: x=−3
b) Horizontal: x=−3, Vertical: y=4
c) Horizontal: y=−3, Vertical: x=4
d) Horizontal: x=4, Vertical: y=−3

Answer 1

a

Step-by-step explanation:

the equation of a horizontal line is y = c

c is the value of the y- coordinates the line passes through.

the line passes through ( - 3, 4 ) with y- coordinate 4 , then

y = 4 ← equation of horizontal line

the equation of a vertical line is x = c

c is the value of the x- coordinates the line passes through.

the line passes through (- 3, 4 ) with x- coordinate - 3 , then

x = - 3 ← equation of vertical line

Answer 2

The correct equations for the horizontal and vertical lines passing through the point (-3, 4) are y = 4 and x = −3, respectively.

Step-by-step explanation:

The student's question is about finding the equations of the horizontal and vertical lines that pass through a given point. Specifically, the point in question is (-3, 4). The equation of a horizontal line has the form y = k, where k is a constant, and the line passes through all points with the y-coordinate equal to k. Since the given point has a y-coordinate of 4, the equation of the horizontal line through (-3, 4) is y = 4.

The equation of a vertical line has the form x = h, where h is a constant, and the line passes through all points with the x-coordinate equal to h. Since the given point has an x-coordinate of -3, the equation of the vertical line through (-3, 4) is x = −3.

The correct answer to the student's question is therefore option (a): Horizontal: y = 4, Vertical: x = −3