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FinnZ [79.3K]
3 years ago
14

Find the equation of the line in slope-intercept form containing the points (4,6) and (9,16).

Mathematics
1 answer:
inna [77]3 years ago
7 0

Hello!

Slope-intercept form is y = mx + b. In this form, m is the slope and y is the y-intercept.

To find the slope, we need to use the slope formula. The slope formula is: \frac{y_{2}-y_{1} }{x_{2}-x_{1}}. We can assign the point (4, 6) to x_{1} and y_{1} and (9, 16) to x_{2} and y_{2}.

Now, we can find the slope: \frac{16-6}{9-4} = \frac{10}{5} = 2

Next, we can find the y-intercept by substituting a point into the slope-intercept form with the slope as 2.

y = 2x + b (substitute a given point)

6 = 2(4) + b (simplify)

6 = 8 + b (subtract 8 from both sides)

-2 = b

Therefore, the equation of the line is y = 2x - 2.

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