Question

What is y-intercept of the graph

Answer 1

Answer:

  1a. y-intercept: 12

  1b. slope: -3/2

  1c. equation: y = -3/2x +12

  2a. y-intercept: -9

  2b. slope: 2

  2c. equation: y = 2x -9

Step-by-step explanation:

1.

A) We observe the pattern to be x-values in the table increase by 2, while y-values in the table decrease by 3. We notice the first x-value is 2, so extending the table upward to x=0 would tell us the y-intercept. That is, adding 3 to the first y-value will give the y-intercept as (x, y) = (0, 12).

B) We have already observed that the "rise" (change in y) is -3 for each "run" (change in x) of 2. The slope is the ratio of these changes:

  slope = m = rise/run = -3/2

C) From the above, we know that m=-3/2 and b=12. Putting these values into the equation for the line gives ...

 y = -3/2x +12

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2.

A) We observe the pattern to be y-values increase by 2 while x-values increase by 1. As before, we can find the point that would go before the first one shown in the table. It will have an x-value of 0 and a y-value of -9.

  the y-intercept is -9

  the slope is 2/1 = 2

  the equation is y = 2x -9