Respuesta :
Start with the simplest equation of a straight line: y = mx + b.
Subst. 1 for m, 2 for x and 4 for y. Then, 4 = 1(2) + b, or b = 2.
In slope-intercept form, the equation of this line is y = x + 2.
The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the slope [tex]m=1\to y=1x+b=x+b[/tex]
and point (2, 4). Substitute:
[tex]4=2+b[/tex] subtract 2 from both sides
[tex]2=b\to b=2[/tex]
Answer: [tex]y=x+2[/tex]