Answer:
A. (-.5, 3)
B. y=-2x+2
C. y=-2x+7
Step-by-step explanation:
A. Midpoint formula, M=[tex]\frac{x_{1 }+x_{2}}{2} + \frac{y_{1 }+y_{2}}{2}[/tex]
B. Find the slope given Δy/Δx which just means change in y over change in x. -2-8/2-(-3) which is -10/2 which reduces to a slope of -2. Then use the point slope equation [tex]y- y_{1}=m(x-x_{1} )[/tex] where you fill in -3 for for x1 and 8 for y1. Solving for y gives you y=-2x+2
C. If a line is parallel to another line then they have the same slope, so the y=-2x part stays the same. What is different, though, is the y intercept. Luckily the y intercept is given in the problem, as the problem says the line passes through 0,7 so we know that this is the intercept. Thus, we know the equation is y=-2x+7
D. I'm not sure on this one, sorry. You can look up slope in ax+by+c=0 form though
