Question

The slope of a line is 1. It passes through the point (2,3). What is its equation?

• A. $y=x+1$
• B. $y=x-1$
• C. $-y=x+1$

Answer 1

The correct option is A $y=x+1$

$\underset{–}{ConceptInvolved:}$

If a line has slope 'm' and it passes through the point $(x_1,y_1)$, then the equation of the line would be given as:
$y-y_1=m(x-x_1)$

$\underset{–}{Method:}$

The given line passes through (2,3) and has slope as '1'.
The equation of the line would be:
$(y-3)=1\times (x-2)$
$y-3=x-2$
$y=x-2+3$
$y=x+1$

The above line has slope '1' and y-intercept as '1'.