Question

Write the equation of a line, in slope intercept form, that has a slope of 1 and passes through the point (2, 4).

Answer 1

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope $m=1\to y=1x+b=x+b$

and point (2, 4). Substitute:

$4=2+b$      subtract 2 from both sides

$2=b\to b=2$

Answer: $y=x+2$

Answer 2

The answer is y=x+2 because you can put it into point slope form

y-4=1(x-2)simplify

y-4=x-2

y=x+2