Question

foundations and pre - calculus 10
map the line starting at the provided point and using the given slope.

1. slope: - 3
2. slope: $\frac{1}{5}$

Explanation:

Step1: Recall slope - rise over run

The slope $m$ is given by $m=\frac{\text{rise}}{\text{run}}$. For a slope of $m = - 3=\frac{-3}{1}$, it means for every 1 unit of run (right - hand direction), the rise is - 3 units (downward direction).

Step2: Start from the point

Assume the starting point is $(-5,5)$. From the point $(-5,5)$, move 1 unit to the right (increase $x$ by 1) and 3 units down (decrease $y$ by 3) to get to the point $(-5 + 1,5-3)=(-4,2)$. We can repeat this process to get more points on the line.

Step3: Draw the line

Connect the starting point and the points obtained by applying the slope rule to draw the line.

Answer:

To map the line with slope $m=-3$, start from the given point, move 1 unit to the right and 3 units down repeatedly to find more points on the line and then connect them.

(Note: Since the starting - point is not clearly labeled in the image, the above solution assumes a point for illustration purposes. The general method is as described above.)