Find the slope of the line that passes through (1,8) and (3,7).Simplify your answer and write it as a proper fraction, improper fraction, or integer._____
Q. Find the slope of the line that passes through (1,8) and (3,7).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)=(1,8)Point 2: (x2,y2)=(3,7)We will use these coordinates to calculate the slope of the line.
Recall Slope Formula: Recall the formula for the slope ( extit{m}) of a line given two points: m=(x2−x1)(y2−y1). We will use this formula to find the slope of the line passing through the two points.
Substitute Coordinates: Substitute the coordinates of the two points into the slope formula.m=3−17−8
Perform Calculations: Perform the calculations to find the slope. m=2−1
Simplify Fraction: Simplify the fraction, if necessary.The fraction −21 is already in its simplest form, so no further simplification is needed.