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The points (7,6) and (10,4) fall on a particular line. What is its equation in point-slope form?

User Leenremm
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To find the equation of the line that passes through the points (7, 6) and (10, 4) in point-slope form, we can use the point-slope formula, which is:

y - y1 = m(x - x1)

where (x1, y1) are the coordinates of a point on the line, and m is the slope of the line.

First, let's find the slope (m) using the coordinates of the two points:

m = (y2 - y1) / (x2 - x1)
m = (4 - 6) / (10 - 7)
m = -2 / 3

Now that we have the slope, we can choose one of the points and use the point-slope formula. Let's use the point (7, 6):

y - 6 = (-2/3)(x - 7)

This is the equation of the line in point-slope form. If you prefer, you can also simplify it to slope-intercept form (y = mx + b) or standard form (Ax + By = C).
User Thealexbaron
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