Verified answer

Pendiente

m = (5-2)/(4-1) = 3/3 = 1

Ecuación

y - 2 = x - 1

y = x + 1

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How do I find the equation for the straight line with two points A (1 ; 2) and B (4 ; 5) ?

The typical equation of a line is: y = mx + b → where m: slope and where b: y-intercept

To calculate m

m = (yB - yA) / (xB - xA) = (5 - 2) / (4 - 1) = 3/3 = 1

The equation of the line becomes: y = x + b

To calculate b

The line passes through A, so the coordinates of this point must verify the equation of the line.

y = x + b

b = y - x → you substitute x and y by the coordinates of the point A (1 ; 2)

b = 2 - 1 = 1

→ The equation of the line is: y = x + 1

¿Porque nosotros tenemos que hacer eso si te lo dieron a vos?