Question

help me solve this | 3 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.
to find a second point for the line, use the slope formula.
m = \frac{rise}{run}=\frac{1}{1}
from the point (-6,3), move 1 unit up, then to the right 1 unit.
starting from the y_1 of 3, move 1 unit up. what is the value of y_2?
y_2=

Explanation:

Step1: Understand the slope - point relationship

The slope $m = 1=\frac{\text{Rise}}{\text{Run}}$. Given a point $P(-6,3)$ and slope $m = 1$, for every 1 - unit increase in the $x$ - value, there is a 1 - unit increase in the $y$ - value.

Step2: Calculate the new $y$ - value

We start with $y_1 = 3$. Since the slope is 1 and we move 1 unit to the right (increase $x$ by 1), we increase $y$ by 1. So, $y_2=y_1 + 1$.
$y_2=3 + 1=4$

Answer:

4