Find the slope of the line that passes through (3,2) and (10,10).Simplify your answer and write it as a proper fraction, improper fraction, or integer._____
Q. Find the slope of the line that passes through (3,2) and (10,10).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.
Substitute Points: Substitute the given points into the slope formula. Let (3,2) be (x1,y1) and (10,10) be (x2,y2). So, m=10−310−2.
Calculate Differences: Calculate the differences: 10−2=8 and 10−3=7.
Divide Differences: Now, divide the differences to find the slope: m=78.
Final Slope: The slope of the line is 78, which is an improper fraction and does not need to be simplified further.