Find the slope of the line that passes through (6,6) and (9,10).Simplify your answer and write it as a proper fraction, improper fraction, or integer._____
Q. Find the slope of the line that passes through (6,6) and (9,10).Simplify your answer and write it as a proper fraction, improper fraction, or integer._____
Identify Coordinates: Identify the coordinates of the two points.Point 1: (6,6)Point 2: (9,10)We will use these coordinates to calculate the slope of the line.
Recall Slope Formula: Recall the formula for slope m when given two points (x1,y1) and (x2,y2). The formula is m=x2−x1y2−y1.
Substitute Coordinates: Substitute the coordinates of the two points into the slope formula.Using Point 1(6,6) as (x1,y1) and Point 2(9,10) as (x2,y2), we get:m=9−610−6
Perform Subtraction: Perform the subtraction in the numerator and the denominator.m=9−610−6m=34
Simplify Fraction: Simplify the fraction if necessary.The fraction 34 is already in its simplest form, so no further simplification is needed.