Q. Find the slope of the line that passes through (1,5) and (3,6).Write your answer in its simplest form.
Identify Coordinates: Identify the coordinates of the two points.Point 1: (x1,y1)=(1,5)Point 2: (x2,y2)=(3,6)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 plug the coordinates of the two points into this formula to find the slope.
Substitute Coordinates: Substitute the coordinates into the slope formula. m=3−16−5
Perform Subtraction: Perform the subtraction in the numerator and the denominator.m=21
Simplify Fraction: Simplify the fraction if necessary.In this case, the fraction 21 is already in its simplest form.