Question

help me solve this | 5 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.
now interpret the slope. what does a slope of 1 mean?
a. for every unit of increase in x, y will decrease by 1 unit.
b. for every 1 units of increase in x, y will increase by 0 units.
c. for every 1 units of increase in x, y will decrease by 0 units.
d. for every unit of increase in x, y will increase by 1 unit.

Explanation:

Step1: Recall slope definition

The slope $m$ of a line is defined as $m=\frac{\Delta y}{\Delta x}$, where $\Delta y$ is the change in $y -$ values and $\Delta x$ is the change in $x -$ values. When $m = 1$, we have $\frac{\Delta y}{\Delta x}=1$, which means $\Delta y=\Delta x$.

Step2: Analyze the meaning of slope 1

If $\Delta x = 1$ (an increase of 1 unit in $x$), then $\Delta y=1$ (an increase of 1 unit in $y$).

Answer:

D. For every unit of increase in x, y will increase by 1 unit.