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write the slope intercept form of the equation of the line through the given points 4) through: (1,-5) and (4, 2)​

1 Answer

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Answer:

y = (7/3)x - 8/3

Explanation:

Hope this helps:

To find the slope-intercept form of the equation of the line through the points (1, -5) and (4, 2), we need to first find the slope of the line.

The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:

m = (y2 - y1) / (x2 - x1)

Using the coordinates of the two given points, we get:

m = (2 - (-5)) / (4 - 1)

m = 7 / 3

Now that we have the slope, we can use the point-slope form of the equation of a line to find the equation of the line:

y - y1 = m(x - x1)

Using the point (1, -5) and the slope we just found, we get:

y - (-5) = (7/3)(x - 1)

Simplifying and rearranging the equation, we get:

y = (7/3)x - 8/3

So the slope-intercept form of the equation of the line passing through the points (1, -5) and (4, 2) is:

y = (7/3)x - 8/3

User Gedas Miksenas
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