Find the slope of the line that passes through (2,8) and (10,1).Simplify your answer and write it as a proper fraction, improper fraction, or integer._____
Q. Find the slope of the line that passes through (2,8) and (10,1).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)=(2,8)Point 2: (x2,y2)=(10,1)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 plug in the coordinates of the two points into this formula.
Substitute Coordinates: Substitute the coordinates into the slope formula.m=10−21−8
Perform Subtraction: Perform the subtraction in the numerator and the denominator. m=8−7
Simplify Fraction: Simplify the fraction if possible.The fraction −87 is already in simplest form, so we do not need to simplify further.