Answer:
[tex]y=-1.4x+9.6[/tex]
Step-by-step explanation:
If A = (-3,-1) and B = (4,4), the slope of AB is
[tex]\text{Slope}_{AB}=\dfrac{-1-4}{-3-4}=\dfrac{-5}{-7}=\dfrac{5}{7}[/tex]
Two perpendicular lines have slopes that have product of -1:
[tex]\text{Slopee}_{AB}\cdot \text{Slope}_{BC}=-1\\ \\\dfrac{5}{7}\cdot \text{Slope}_{BC}=-1\\ \\\text{Slope}_{BC}=-\dfrac{7}{5}=-1.4[/tex]
The equation of the line BC with slope -1.4 and passing through the point B(4,4) is
[tex]y-4=-1.4(x-4)\\ \\y-4=-1.4x+5.6\\ \\y=-1.4x+9.6[/tex]
