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Question 2

Simplify the equation and write in slope intercept form (y = mx + b).

y = 5 + 3x - 7 - 2x

(2 points)...............

3 answers

To simplify the equation \( y = 5 + 3x - 7 - 2x \), we can combine like terms.

  1. Combine the constant terms: \( 5 - 7 = -2 \)
  2. Combine the \( x \) terms: \( 3x - 2x = 1x \) or simply \( x \)

Putting it all together:

\[ y = x - 2 \]

Now, this is in slope-intercept form, \( y = mx + b \), where \( m = 1 \) and \( b = -2 \).

So, the simplified equation in slope-intercept form is:

\[ y = x - 2 \]

Use the slope intercept form of the equation from question 2 to evaluate the equation at x = 2 and x = 5.

(2 points)..............

We have the equation in slope-intercept form from Question 2:

\[ y = x - 2 \]

Now, let's evaluate the equation at \( x = 2 \) and \( x = 5 \).

  1. For \( x = 2 \): \[ y = 2 - 2 = 0 \]

  2. For \( x = 5 \): \[ y = 5 - 2 = 3 \]

So, the evaluations are:

  • At \( x = 2 \), \( y = 0 \).
  • At \( x = 5 \), \( y = 3 \).