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Pavel [41]
3 years ago
10

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. 7x – 10y = 3. Is this a good model? Explain your reasoning.
Mathematics
2 answers:
melamori03 [73]3 years ago
6 0
Use slope formula to find slope <span><span><span>−9−5</span><span>−/12−8</span></span>=<span><span>−14/</span><span>−20</span></span>=<span>7/10</span></span> 7/10 = m = slope  
y= mx + b
y= (7/10)x + b
(8,5)
(5) = (7/10)(8) + b
b = -3/5

So.... <span>y=(<span>7/10)</span>x −<span>35

</span></span> multiply by 10

<span>10y=7x−6</span><span> --> -7x + 10y = -6
 --> 7x - 10y = 6
 So, if 7x - 10y = 3 a good model?</span>
miskamm [114]3 years ago
6 0

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. Hope this helps!!! :)

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