Question

Cody was given two points (z
8) and
(5,5)
, on a line and asked to create a linear equation in standard
form. Cody's work is shown. Identify any errors and correct them.

Answer 1

Answer:

Step-by-step explanation:

First error is: $\frac{-3}{\frac{1}{6} }$ = - 3 ÷ $\frac{1}{6}$ = - 18  ( and ≠ $-\frac{1}{2}$ )

Thus, slope m = - 18 and linear equation is

y - 5 =  - 18(x - $\frac{2}{3}$ )

y - 5 = - 18x + 12

y = - 18x + 17 slope intercept form

18x + y = 17 Standard form

First error is: $\frac{-3}{\frac{1}{6} }$ = - 3 ( $\frac{1}{6}$ ) = $-\frac{1}{2}$

Second error is: Cody should multiply both sides of equation by 6

Standard form is 18x + y = 17