# Chapter 2 - Graphs and Functions - 2.5 Equations of Lines and Linear Models - 2.5 Exercises: 11

$\color{blue}{y=-2x+5}$

#### Work Step by Step

RECALL: The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept. The given line has a slope of $-2$ therefore the tentative equation of the line is $y=-2x+b$. To find the value of $b$, substitute the x and y values of the given point into th tentative equation above to obtain: $y=-2x+b \\3=-2(1)+b \\3=-2+b \\3+2=-2+b+2 \\5=b$ Therefore, the equation of the line is $\color{blue}{y=-2x+5}$.

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