Step-by-step explanation:
Find the slope of AB
: The slope is
[tex] \frac{7 - 0}{3 - 8} = - \frac{7}{5} [/tex]
Find the y intercept by plugging coordinates in
[tex]0 = - \frac{ 7}{5} (8) + b[/tex]
[tex]0 = \frac{ - 56}{5} + b[/tex]
[tex]b = \frac{56}{5} [/tex]
Find CD: We know that AB and CD are parallel to each other so this means they both have the same slope.
We can find the next point by subtracting 7 from the y coordinate of Point D, Adding 5 to the x coordinate of Point D.
Point C=(10,-2).
Find the y intercept by a plugging coordinates in
[tex] 5 = - \frac{7}{5} (5) + b[/tex]
[tex]5 = - 7 + b[/tex]
[tex]12 = b[/tex]
So the Equation of Line CD is
[tex] - \frac{7}{5} x + 12[/tex]
