Question

Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and (–12, –9). He writes the equation

Answer 1

1. Re-write the equation to y = mx + b:

-10y = 7x +3
y = -7/10x - 3/10

2. Replace the values and solve:

5 = -7/10(8) - 3/10
5 \neq -5.9

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-9 = -7/10 (-12) - 3/10
-9 \neq 8.1

This is not a good model because when you solve the equations they do not equal y

Answer 2

Answer: Copy and paste that for a correct answer

If the model is good, then both points will check in the equation. Substituting 8 for x and 5 for y in the equation results in 56 – 50 = 3, which is not true. Therefore, the model is not good. Using (–12, –9) as a check results in –84 + 90 = 3. The constant value in the equation should be 6, not 3. In slope-intercept form, the y-intercept should be –3/5.