Write a Java program to determine whether two straight lines are perpendicular. The

program must prompt the user for the values of x$-$y coordinates for two points of each

line. Coordinate figures must be read as integers.

Example: in the graph below, the line $$ B is defined by the pairs: $(15,10)$ and $(49,25)$;

whereas the line $$ D is defined by $(29,5)$ and $(32,32).$

Premises

For a line represented by two points: $($x$1,$ y$1)$ and $($x$2,$ y$2),$ the slope of such line, m$,$ is

determined by:

$=$

$$

$$

Given two lines with slopes m$1$ and m$2$ respectively, the lines are perpendicular if the

product of their slopes yields $-1$:

$($m$1)($m$2)=-1$Programming Assignment #$1$

COSC$-1437$ Programming Fundamentals II

Dallas College $-$ Fall $2024$

Email me at FAHernandez@dcccd$.$edu if you have any questions

Vertical Lines

The program should avoid a $$divide by zero error$$ by checking for vertical lines. In a

vertical line: x$2=$ x$1$; consequently: x$2$ x$1=0.$

Note: If one of the lines is found to be vertical$/$horizontal$,$ all the program needs to do is

check to see if the other line is horizontal$/$vertical to determine whether they are

perpendicular or not.

Output

The program output should be either:

$$Lines are perpendicular$$

Or

$$Lines are not perpendicular$$

Sample program output

Sample Run #$1$:

Sample Run #$2$:

The program should not produce any other output. For example, if the program

detects a vertical line, do not display: $$Divide by zero error$$ and exit. Instead, the outputt

should be one of the two shown above.Programming Assignment #$1$

COSC$-1437$ Programming Fundamentals II

Dallas College $-$ Fall $2024$

Email me at FAHernandez@dcccd$.$edu if you have any questions

Testing

Assume two lines are represented by their coordinates, as follows:

Line $1$: $($x$1,$ y$1)$ and $($x$2,$ y$2)$

Line $2$: $($x$3,$ y$3)$ and $($x$4,$ y$4)$

Given the following values, your program should produce the corresponding output:

Test Case $($x$1,$ y$1)($x$2,$ y$2)($x$3,$ y$3)($x$4,$ y$4)$ Output

$1(13,20)(51,20)(25,7)(25,35)$ Lines are perpendicular

$2(13,20)(51,20)(14,10)(26,35)$ Lines are not perpendicular

$3(15,5)(15,31)(9,16)(35,16)$ Lines are perpendicular

$4(13,20)(51,20)(14,10)(26,35)$ Lines are not perpendicular

$5(21,7)(49,27)(26,35)(38,10)$ Lines are not perpendicular

$6(10,10)(35,35)(15,35)(35,15)$ Lines are perpendicular

Grading Criteria

$1.$ Program Description: $10\%$

$2.$ Program uses only the integer type: $30\%$

$3.$ Check to avoid divide by zero error: $30\%$

$4.$ Accuracy of results: $30\%$

Notes:

$1.$ You may only use material from Chapters $1-3$ of the eTextbook; otherwise, your

program will not be accepted.

$2.$ Programs with syntax errors will not be accepted.