Equation of the line passing through (7,5) and (1, 2)
1 answer:
Answer:
Step-by-step explanation:
Assuming this is a linear equation in the form of , we can first solve for the slope using
, for these points, the slope would be
. Now we plug in the points to get the equation:
plugging in (7,5), we get ×
+
and solving for b, we get b =
therefore, the equation of the line passing through (7,5) and (1,2) is .
hope this helps!
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Answer:
77.76 times
Step-by-step explanation:
The average distance of Neptune from the sun
= 4.503 × 10 ⁹ k m .
and Mercury = 5.791 × 10 ⁷ k m .
Hence neptune is ( 4.503 × 10 ⁹) ÷ (5.791 × 10 ⁷ ) times farther from the sun than mercury
i.e.( ) × 10⁹⁻⁷ times
= 0.7776 × 10 ² times
= 77.76 times.
Answer:
Yes the relationship is linear and given by:
(first option of your list)
Step-by-step explanation:
Yes, it is a linear expression. As we did in previous exercises, we calculate the difference between consecutive y values of the table, and write down the answers we get:
-7-(-2) = -7+2 = -5
-12-(-7) = -12 +7 = -5
-17 - (-12) = -17 + 12 = -5
We notice that all of them give "-5"
Now we evaluate the difference between consecutive x-values in a similar fashion:
-5 -(-9) = -5+9 = 4
-1-(-5) = -1+5 = 4
3-(-1) = 3+1 = 4
We see that they all give 4 as the difference.
That means that the rate of change
This means that the slope (rate of change) of the line is "-5/4"
We can now use the general point-slope form to write the equation of the line, using the first pair of the table as our selected point, and using "-5/4" for the slope:
which is the first expression listed among your possible answer choices.