Question

Consider two lines y = m1x + b1 and y = m2x + b2. To solve for the intersection point (x ∗ , y∗ ) of these lines (assuming they aren’t parallel) we have m1x ∗ + b1 = m2x ∗ + b2 (m1 − m2) x ∗ = b2 − b1 x ∗ = b2 − b1 m1 − m2 and thus y ∗ = m1x ∗ + b1. Using MATLAB or Octave, Write a script that prompts the user for the slopes and y-intercepts of the two lines (namely m1, m2, b1, and b2), storing each in a variable. You may assume the user does not specify parallel lines. The script should then calculate the intersection point of the lines, saving each co-ordinate to a variable, and print the result. Sample output: Enter value for m1: -3 Enter value for b1: 6 Enter value for m2: 1.5 Enter value for b2: -5.1 Lines y = -3.00 x + 6.00 and y = 1.50 x + -5.10 intersect at ( 2.47, -1.40 ) September 4, 2019 2 of 6 MAT 2010L: Lab Assignment 2 Enter value for m1: 1.2345 Enter value for b1: 10.25 Enter value for m2: 20.275 Enter value for b2: -6 Lines y = 1.23 x + 10.25 and y = 20.27 x + -6.00 intersect at ( 0.85, 11.30 )

Answer 1

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function Calculateintersect()
m1=input('Enter value for m1: ');
b1=input('Enter value for b1: ');
m2=input('Enter value for m2: ');
b2=input('Enter value for b2: ');
x=(b2-b1)/(m1-m2);
y=m1*x+b1;
fprintf("Lines y= %f x + %f and y= %f x + %f intersects at point (%f , %f)\n",m1,b1,m2,b2,x,y);
end