Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the slope of the line that passes through (7,10)(7, 10) and (5,11)(5, 11).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____

Full solution

Q. Find the slope of the line that passes through (7,10)(7, 10) and (5,11)(5, 11).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____
  1. Slope Formula: To find the slope of the line that passes through two points, we use the slope formula: slope m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}, where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are the coordinates of the two points.
  2. Assign Points: Let's assign the points: (x1,y1)=(7,10)(x_1, y_1) = (7, 10) and (x2,y2)=(5,11)(x_2, y_2) = (5, 11). Now we can plug these values into the slope formula.
  3. Plug Values: Using the slope formula: m=111057m = \frac{11 - 10}{5 - 7}.
  4. Calculate Differences: Calculate the differences: m=12.m = \frac{1}{-2}.
  5. Simplify Fraction: Simplify the fraction: m=12m = -\frac{1}{2}.

More problems from Find the slope from two points