# Chapter 1, Equations and Graphs - Section 1.3 - Lines - 1.3 Exercises - Page 113: 25

$y=5x-7$

#### 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: $y=5x+(-7) \\y=5x-7$

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