Question: What is the slope of this line? (0, 1) (7, 5) Simplify your answer and write it as a proper…

What is the slope of this line?

(0, 1) (7, 5)

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Solution

To find the slope of the line that goes through the points \((0, 1)\) and \((7, 5)\), use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Substitute the given points \((x_1, y_1) = (0, 1)\) and \((x_2, y_2) = (7, 5)\): \[ m = \frac{5 - 1}{7 - 0} \] Calculate the differences: \[ m = \frac{4}{7} \] Thus, the slope of the line is \( \frac{4}{7} \).