Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the slope of the line that passes through (6,7)(6, 7) and (10,6)(10, 6). \newlineWrite your answer in its simplest form.

Full solution

Q. Find the slope of the line that passes through (6,7)(6, 7) and (10,6)(10, 6). \newlineWrite your answer in its simplest form.
  1. Identify Coordinates: Identify the coordinates of the two points.\newlineWe have point A with coordinates (6,7)(6, 7) and point B with coordinates (10,6)(10, 6).
  2. Use Slope Formula: Use the slope formula.\newlineThe slope mm of the line passing through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}.
  3. Plug in Coordinates: Plug in the coordinates into the slope formula.\newlineUsing the coordinates of point A (6,7)(6, 7) and point B (10,6)(10, 6), we get m=67106m = \frac{6 - 7}{10 - 6}.
  4. Simplify Expression: Simplify the expression. m=(1)/(4)=14m = (-1) / (4) = -\frac{1}{4}.

More problems from Find the slope of a linear function