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

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.