1. Write down the gradient of the line joining the points (2m, n) and (3, -4). 2.Find the value of n if the line is parallel to the X-axis
3.Find the value of m if the line is parallel to the Y-axis.

Step-by-step explanation:

1 . ( n + 4 ) / ( 2m - 3 )

The gradient (slope) is

= ( change in y direction ) / ( change in x direction )

= ( n - (-4) ) / ( 2m - 3 )

= ( n + 4 ) / ( 2m - 3 )

2.

A line parallel to the x-axis will always have the equation of y = #. This is because all along that line, every value of x, y will still equal the same number. For example, a line parallel to the x-axis that crosses the y-axis at 2, will be y = 2. If it is in the negative range, it's the same concept, for example if it crossed the y-axis at -4, the equation would be y = -4.

Example - Computational Knowledge Engine

3.

To understand the slope of a line parallel to y axis, let us consider the figure given below.

answer are

step-by-step explanation:

x:       y:  

-1         4

0         4

1         6

2         18

3         20