Answer
(a) slope $=3$
(b) Refer to the graph below.
Work Step by Step
RECALL:
In the linear equation $y=mx + b$, $m$=slope and $(0, b)$ is the y-intercept.
(a) The line $y=3x-5$ has a slope of $3$ and a y-intercept of $(0, -5)$.
(b) To graph the line, perform the following steps:
(1) Plot the y-intercept $(0, -5)$.
(2) Use the slope to plot another point.
The slope is $3$ so for there is a 3-unit increase in the value of $y$ for every unit increase in $x$. From $(0, -5)$, move 3 units up (the rise) and one unit to the right (the run) to reach $(1, -2)$. Plot $(1, -2)$.
(3) Complete the graph by connecting the two points using a line.
(Refer to the graph in the answer part above.)
