Answer
$y=5x-7$
Work Step by Step
RECALL:
The slope-intercept form of a line's equation is $y=mx+b$ where m = slope and b = y-intercept.
The given line has $m=5$ and passes through the point $(2, 3)$.
Thus, the tentative equation of the line is:
$y=5x+b$
To find the value of $b$, substitute the coordinates of $(2, 3)$ into the tentative equation above to obtain:
$y=5x+b
\\3 = 5(2) + b
\\3 = 10 + b
\\3-10 = 10+b-10
\\-7=b$
Therefore, the equation of the line is:
$y=5x+(-7)
\\y=5x-7$
