$y=-2x + 5$
Work Step by Step
RECALL: The slope-intercept form of a line's equation is $y=mx+b$ where $m$ = slope and $b$ = y-intercept. With $m=-2$, the tentative equation of the line is $y=-mx+b$. To find the value of $b$, substitute the x and y coordinates of the given point to have: $y = -2x + b \\3=-2(1)+b \\3=-2+ b \\3+2=b \\5=b$ Thus, the equation of the line in slope-intercept form is $y=-2x + 5$.