SOLUTION: I have a homework assignment and I need an example of one so I can answer the rest of the questions. Find the line passing through the following pairs of points? (3, 11) (6, 20)

Question 214303: I have a homework assignment and I need an example of one so I can answer the rest of the questions. Find the line passing through the following pairs of points?
(3, 11) (6, 20)
Can you please show me how to figure these kind of questions out. Thanks

Found 2 solutions by scott8148, Earlsdon:
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
first, find the slope (m) ___ m = (20 - 11) / (6 - 3) = 9 / 3 = 3

using the point-slope form, you can write the equation of the line ___ y - 11 = 3 (x - 3)

y - 11 = 3x - 9

y = 3x + 2 (this is the slope-intercept form : y = mx + b)
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Find the equation of the line that passes through the two points (3,11) and (6,20)
Since you don't specify the form of equation you need, I'll assume that the "slope-intercept" form (y = mx+b) is acceptable.
Start by finding the slope (m) of the line using the two given points.
where:, , , and Making the appropriate substitutions, we get:

So you can start out with:
To find the value of b, the y-intercept, substitute the x- and y-coordinates of either one of the two given points. Using the first point (3,11) we have:

Subtract 9 from both sides.

The final equation is:

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