Cody was given two points (1/2, 8) and (2/3, 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.

*see picture*

Cody made an error while finding the slope: -3_1/6 = -3(_)=_

Cody also should have multiplied both sides of the equation by _,
not 2, and should have multiplied all the terms.

The multiplied both sides of the equation should be _

Which graph represents the function g(x) = |x + 4| + 2?

Tim's phone service charges $26.39 plus an additional $0.21 for each text message sent per month. if tim's phone bill was $31.64, which equation could be used to find how many text messages, x, tim sent last month?

If m∠abc = 70°, what is m∠abd? justify your reasoning.  using the addition property of equality, 40 + 70 = 110, so m∠abd = 110°.  using the subtraction property of equality, 70 − 30 = 40, so m∠abd = 30°.  using the angle addition postulate, 40 + m∠abd = 70. so, m∠abd = 30° using the subtraction property of equality.  using the angle addition postulate, 40 + 70 = m∠abd. so, m∠abd = 110° using the addition property of equality.