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What is the equation, in slope-intercept form, for a line that passes through the points (9, 2) and (3,-2)?

User Kelsin
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Answer:

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Explanation:

To find the equation of a line in slope-intercept form (y = mx + b), we need to find the slope of the line and the y-intercept.

The slope of a line is given by the formula:

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

Plugging in the coordinates of the two given points, we get:

m = (-2 - 2) / (3 - 9) = -4 / -6 = 2/3

The y-intercept is the point at which the line crosses the y-axis. In this case, the y-intercept is (0, -2), so b = -2.

Substituting these values into the slope-intercept form, we get:

y = (2/3)x + (-2)

So the equation of the line that passes through the points (9, 2) and (3, -2) is:

y = (2/3)x - 2

User A Haworth
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