## College Algebra (10th Edition)

$\color{blue}{y=-2x+5}$
RECALL: The slope-intercept form of a line's equation is: $y=mx+b$ where $m$ = slope and $b$ = y-intercept The slope of the line is $-2$. Substitute $-2$ for $m$ into the standard form to obtain the tentative equation: $y=-2x+b$ To find the value of $b$, substitute the values of x and y of the given point into the tentative equation above to obtain: $y=-2x+b \\-1=-2(3) + b \\-1=-6+b \\-1+6=b \\5=b$ Thus, the equation of the line is $\color{blue}{y=-2x+5}$.