Work Step by Step
RECALL: (i) The slope-intercept form of a line's equation is $y=mx+b$, where m=slope and b=y-intercept. (ii) The line passes through the y-axis at the point (0, b). The given line has m=3, therefore its tentative equation is $y=3x+b$. The y-intercept is (0, -5) therefore $b=-5$. Thus, the equation of the line is $y=3x-5$.