Find the slope of the line that passes through (3,11) and (8,3).Simplify your answer and write it as a proper fraction, improper fraction, or integer._____
Q. Find the slope of the line that passes through (3,11) and (8,3).Simplify your answer and write it as a proper fraction, improper fraction, or integer._____
Slope Formula: To find the slope of the line that passes through two points, we use the slope formula: slope m=x2−x1y2−y1, where (x1,y1) and (x2,y2) are the coordinates of the two points.
Plug in Coordinates: Let's plug in the coordinates of the two points into the slope formula. For the points (3,11) and (8,3), we have x1=3, y1=11, x2=8, and y2=3. So, m=8−33−11.
Perform Subtraction: Now, let's perform the subtraction in the numerator and the denominator. m=5−8.
Final Slope Calculation: The slope of the line is −58, which is an improper fraction and can be left as is because the problem asks for a proper fraction, improper fraction, or integer.