# Plot a line along 2 points in MATLAB

Our objective is to plot a line along 2 points in MATLAB without using inbuilt functions for plotting. A black and white image can be represented as a 2 order matrix. The first order is for the rows and the second order is for the columns, the pixel value will determine the color of the pixel based on the grayscale color format.

Approach :

• We are given with 2 points. Let the coordinates of the points be (x1, y1) and (x2, y2).
• We find the slope of these 2 points and store it in m.
`m = (y2-y1)/(x2-x1);`
• Now for every pixel, find the slope between the pixel and one of the point.
`m2 = (y2-j)/(x2-i);`
• If the slope obtained is equal to the slope of the points, then change the color to black (0).

Implementation:

 `% MATLAB code to plot line through 2 points ` ` `  `% create a white image of size 400X400 ` `im = uint8(zeros(400, 400)) + 255; ` ` `  `% coordinates of point 1  ` `x1 = 100; ` `y1 = 100; ` ` `  `% coordinates of point 2 ` `x2 = 200; ` `y2 = 200; ` ` `  `% slope of points 1 and 2 ` `m = (y2-y1)/(x2-x1); ` ` `  `% accessing every pixel ` `for` `i = 1:400 ` `    ``for` `j = 1:400 ` `        ``m2 = (y2-j)/(x2-i); ` `        ``if` `m == m2 ` `            ``im(i, j) = 0; ` `        ``end` `    ``end`  `end` ` `  `% display the image ` `imshow(im); `

Output :

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