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write an equation in slope-intercept form of the line that passes through the given points. (6,3)(3,10)

User Jettero
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Final answer:

To write the equation in slope-intercept form, we need to find the slope and the y-intercept. Using the given points (6,3) and (3,10), we can find the slope as -7/3. Substituting the slope and one of the points into the slope-intercept form equation, we can find the y-intercept as 17. Therefore, the equation of the line is y = (-7/3)x + 17.

Step-by-step explanation:

To write the equation of a line in slope-intercept form, we need the slope and the y-intercept.

Given the points (6,3) and (3,10), we can find the slope using the formula:

Slope (m) = (change in y) / (change in x) = (10 - 3) / (3 - 6) = 7 / -3 = -7/3

Now, we can substitute the slope and one of the points, (6,3), into the slope-intercept form equation y = mx + b:

3 = (-7/3)(6) + b

To find the y-intercept, we solve for b:

3 = (-7/3)(6) + b

3 = -14 + b

b = 17

Therefore, the equation of the line is y = (-7/3)x + 17.

User Phil Walton
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