Answer
(a) Refer to the attached image below.
(b) $y=-2x+7$
Work Step by Step
(a) To sketch the line, do the following steps:
1. Plot (4, -1).
2. The slope is $\frac{\text{rise}}{\text{run}}$. Since the slope of the line is $-2$, which is negative, from the point (4, -1), move up 2 units then move 1 unit to the left to end at (3, 1).
(refer to the attached image)
3. Connect the points to complete the graph of the line.
(b) The line has a slope of $\frac{3}{2}$ and, has a y-intercept from the grah in part (a), has a y-intercept of 7..
Thus, the equation of the line is $y=-2x+7$.
