Answer:
y=[tex]-\frac{6}{5} x+\frac{23}{5}[/tex]
Step-by-step explanation:
The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.
We have that x1=−2, y1=7, x2=3, y2=1.
Plug the given values into the formula for slope: m=(1)−(7)(3)−(−2)=−6/5=−6/5.
Now, the y-intercept is b=y1−m⋅x1 (or b=y2−m⋅x2, the result is the same).
b=7−(−6/5)⋅(−2)=23/5.
Finally, the equation of the line can be written in the form y=mx+b.
y=−6/5x+23/5.
