Question

for some question you will be able to graph your answer. use the dot tool to place points, and the appropriate graphing tool for lines and curves.
a. draw a line through the point (4,3) having slope m = -\frac{3}{1} using the line tool.
do this by first selecting the line tool, then selecting the point (4,3), then based on the slope go down 3 squares, then right 1 square and select that point.
b. then plot the point (2,4) using the dot tool.
graph with grid and drawing tools
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Explanation:

Step1: Graph the line through (4,3) with slope -3/1

Start at the point (4, 3). The slope \( m = -\frac{3}{1} \) means for every 1 unit we move to the right (positive x - direction), we move 3 units down (negative y - direction). So from (4, 3), moving right 1 unit (to x = 5) and down 3 units (to y = 3 - 3 = 0) gives us the point (5, 0). We can also move left 1 unit (to x = 3) and up 3 units (to y = 3+3 = 6) to get the point (3, 6). Then we can draw a line connecting these points (or using the initial point and one of these derived points) using the line tool.

Step2: Plot the point (2,4)

Using the dot tool, we locate the x - coordinate 2 on the x - axis and the y - coordinate 4 on the y - axis. The intersection of the vertical line through x = 2 and the horizontal line through y = 4 is the point (2, 4), and we place a dot there.

(Note: Since this is a graphing problem, the final answer is the visual representation of the line through (4,3) with slope - 3 and the dot at (2,4) on the given coordinate plane. If we were to describe the key points for the line: starting at (4,3), another point can be (5,0) or (3,6), and the point (2,4) is plotted separately.)

Answer:

• For part a: The line passes through (4, 3) and (5, 0) (or (3, 6)) and is drawn using the line tool.
• For part b: The point (2, 4) is plotted using the dot tool.