Find the slope of the line that passes through (1,7) and (9,6).Simplify your answer and write it as a proper fraction, improper fraction, or integer._____
Q. Find the slope of the line that passes through (1,7) and (9,6).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: (x1,y1)=(1,7)Point 2: (x2,y2)=(9,6)We will use these coordinates to calculate the slope of the line.
Recall Slope Formula: Recall the formula for the slope m of a line given two points: m=x2−x1y2−y1. We will use this formula to find the slope of the line passing through the given points.
Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. m=9−16−7
Perform Subtraction: Perform the subtraction in the numerator and the denominator. m=8−1
Simplify Fraction: Simplify the fraction if possible.The fraction −81 is already in its simplest form, so no further simplification is needed.