Find the slope of the line that passes through (3,5) and (1,8).Simplify your answer and write it as a proper fraction, improper fraction, or integer._____
Q. Find the slope of the line that passes through (3,5) and (1,8).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)=(3,5)Point 2: (x2,y2)=(1,8)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 our two points into this formula.
Substitute Coordinates: Substitute the coordinates into the slope formula. m=1−38−5
Perform Subtraction: Perform the subtraction in the numerator and the denominator. m=−23
Simplify Fraction: Simplify the fraction if possible.The fraction (−2)3 is already in simplest form, so this is our slope.