What is the equation of the line described below written in slope-intercept form? the line passing through point (2, 4), parallel to the line whose equation is y = x

Respuesta :

The slope of [tex]y=x[/tex] is 1, so the slope of the other line is also 1.

We have
[tex]y=x+b[/tex]
To find [tex]b[/tex], we plug in [tex](2, 4)[/tex]:
[tex]4=2+b[/tex]
[tex]\rightarrow b=2[/tex]

So the equation is [tex]y=x+2[/tex]