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