Answer
$y=5x-7$ or $-5x+y+7=0$
Work Step by Step
Through $(2,3);$ slope $5$
Use the point-slope form of the equation of a line, which is $y-y_{1}=m(x-x_{1})$, where $(x_{1},y_{1})$ is a point through which the line passes and $m$ is the slope.
Both the point and the slope are given, so substitute these values into the formula and simplify to obtain the equation of the line:
$y-y_{1}=m(x-x_{1})$
$y-3=5(x-2)$
$y-3=5x+10$
$y=5x+3-10$
$y=5x-7$ or, in general form, $-5x+y+7=0$
