Find the slope of the line that passes through (7,3) and (10,2).Simplify your answer and write it as a proper fraction, improper fraction, or integer._____
Q. Find the slope of the line that passes through (7,3) and (10,2).Simplify your answer and write it as a proper fraction, improper fraction, or integer._____
Identify Coordinates: To find the slope of a line that passes through two points, we use the formula for slope m, which is the change in y divided by the change in x, or x2−x1y2−y1, where (x1,y1) and (x2,y2) are the coordinates of the two points.
Substitute Values: Let's identify the coordinates of the two points. The first point is (7,3), so x1=7 and y1=3. The second point is (10,2), so x2=10 and y2=2.
Perform Subtraction: Now we can substitute these values into the slope formula: m=x2−x1y2−y1=10−72−3.
Calculate Slope: Perform the subtraction in the numerator and the denominator: m=3−1.
Final Result: The slope of the line is −31, which is already in its simplest form as a proper fraction.