Answer:
Therefore the equation is y=-x+4 (correct optlon: C)
Explanation:
In order to find the equation that passes through both points, we can use the slope-intercept form of the linear equation:
y=mx+b
Where m is the slope and b is the y-intercept.
Using the given points on this equation, we have:
(-4,8):
(-4,8):8=m*(-4)+b
(-4,8):8=m*(-4)+bb=8+4m
(-4,8):8=m*(-4)+bb=8+4m(1,3):
(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b
(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b3=m+8+4m
(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b3=m+8+4m5m=3-8
(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b3=m+8+4m5m=3-85m=-5
(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b3=m+8+4m5m=3-85m=-5m=-1
(-4,8):8=m*(-4)+bb=8+4m(1,3):3=m+b3=m+8+4m5m=3-85m=-5m=-1b=8+4*(-1)=8-4=4
Therefore the equation is y=-x+4 (correct optlon: C)