# Chapter 2 - Graphs and Functions - 2.5 Equations of Lines and Linear Models - 2.5 Exercises - Page 243: 30

$\color{blue}{y+7=-2(x-4)}$

#### Work Step by Step

RECALL: The point-slope form of a line's equation is $y-y_1=m(x-x_1)$ where $m$=slope and $(x_1, y_1)$ is a point on the line. The given line has a slope of $-2$ and contains the point $(4, -7)$. Substitute these into the point-slope form above to obtain: $y-(-7) = -2(x-4) \\\color{blue}{y+7=-2(x-4)}$

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