Your teacher asks you to write a linear equation for a function in which the rate of change is -7 and the initial value is -2. You wrote the equation y= -7x + (-2). Your classmate wrote the equation y= -7x- 2. Another classmate wrote the equation y = (-2) + (-7)x. Your teacher wrote the equation y=-2 - 7x. Who is correct? Justify your response.​

Your teacher asks you to write a linear equation for a function in which the rate of change is 7 and the initial value is 2 You wrote the equation y 7x 2 Your c class=

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Answer:

y = = -7x + (-2),  y = -2 - 7x  are both correct

Step-by-step explanation:

"rate of change" here refers to the "slope" of the line corresponding to the linear function.  Thus, m = -7, and we know that the initial value (y-intercept) is -2.  Thus, the desired equation is y = -7x - 2.  YOU were correct, since YOUR y = -7x + (-2) is the same as y = -7x -2.  However, what the teacher wrote was also correct:  y = -2 - 7x.