Slope of Line Intersecting (2,2) & (6,7)

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In summary, the formula for finding the slope of a line is (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are two points on the line. To find the slope of a line passing through two given points, simply substitute the coordinates of the points into the slope formula: (y2-y1)/(x2-x1). The slope of a line tells us the steepness or incline of the line and whether it is increasing or decreasing. A line is intersecting if it crosses or touches another line at a specific point. The slope of a line can be negative, indicating a decreasing line from left to right. In this case, the line passing through (
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suluclac
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If a line intersects both points (2, 2) and (6, 7), determine its slope.
 
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With the possibility that some school students come in this forum and expect us to spoon feed the answers, here it is. Besides, one of the rules of this forum is that we need to show some effort! So here is my effort!
y = ax + b
a = dy/dx = (7 - 2)/(6 - 2) = 5/4
 

FAQ: Slope of Line Intersecting (2,2) & (6,7)

What is the formula for finding the slope of a line?

The formula for finding the slope of a line is (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are two points on the line.

How do I find the slope of a line passing through two given points?

To find the slope of a line passing through two given points, simply substitute the coordinates of the points into the slope formula: (y2-y1)/(x2-x1).

What does the slope of a line tell us?

The slope of a line tells us the steepness or incline of the line. It also indicates whether the line is increasing or decreasing.

How do I know if a line is intersecting?

A line is intersecting if it crosses or touches another line at a specific point. In this case, the line is intersecting at point (2,2) and (6,7).

Can the slope of a line be negative?

Yes, the slope of a line can be negative. This indicates that the line is decreasing from left to right. In this case, the slope of the line passing through (2,2) and (6,7) is (7-2)/(6-2) = 5/4, which is a positive slope.

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