SOLUTION: find the equation passes through (7,66)(1,18) a. -8x-y=-122 b. 8x-y=-10 c. 8x-y=10 d. 1/8 x -y=521/8

Algebra ->  Graphs -> SOLUTION: find the equation passes through (7,66)(1,18) a. -8x-y=-122 b. 8x-y=-10 c. 8x-y=10 d. 1/8 x -y=521/8      Log On


   



Question 983358: find the equation passes through (7,66)(1,18)
a. -8x-y=-122
b. 8x-y=-10
c. 8x-y=10
d. 1/8 x -y=521/8

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

We are trying to find equation of form y=ax%2Bb, where a is slope, and b is intercept, which passes through points (x%5B1%5D, y%5B1%5D) = (7, 66) and (x%5B2%5D, y%5B2%5D) = (1, 18).
Slope a+is:
+a=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
+a=%2818-66%29%2F%281-7%29
+a=%28-48%29%2F%28-6%29
+a=8
Intercept is found from equation
a%2Ax%5B1%5D%2Bb=y%5B1%5D, or
8%2A7%2Bb=66
56%2Bb=66
b=66-56
From that,
intercept b is
b=10

so, your equation is
y=8x+%2B+10...or, in standard form
-10=8x+-y or, switch sides
8x+-y=-10

and your answer is:
b.+8x-y=-10