Question

help me solve this | 6 parts remaining
graph the line containing the point p and having slope m.
p=(-6,3), m = 1
start by plotting the point on the graph. then find a second point by using the slope of the line.
plot the first point (-6,3) on the graph.

Explanation:

Step1: Recall slope - point concept

The slope $m = 1$ can be written as $\frac{\Delta y}{\Delta x}=1$, which means for a change in $x$ ( $\Delta x$), the change in $y$ ( $\Delta y$) is the same.

Step2: Find a second point

Starting from the point $P(-6,3)$, if we increase $x$ by 1 ( $\Delta x = 1$), since $m = 1=\frac{\Delta y}{\Delta x}$, then $\Delta y=1$. So the new $y$ - value is $3 + 1=4$ and the new $x$ - value is $-6+1=-5$. The second point is $(-5,4)$.

Step3: Draw the line

Plot the points $(-6,3)$ and $(-5,4)$ on the graph and draw a straight - line passing through them.

Answer:

Plot the points $(-6,3)$ and $(-5,4)$ and draw a line through them.