Question

the coordinates of two points on a line are (-3, 7) and (1, 0). find the slope of the line. $-\frac{7}{4}$ $\frac{7}{4}$ $-\frac{4}{7}$ $-\frac{3}{7}$

Explanation:

Step1: Recall the slope formula

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the coordinates

Let \( (x_1, y_1)=(-3, 7) \) and \( (x_2, y_2)=(1, 0) \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{0 - 7}{1 - (-3)}=\frac{-7}{1 + 3}=\frac{-7}{4}=-\frac{7}{4} \).

Answer:

\(-\frac{7}{4}\) (corresponding to the first option: \(-\frac{7}{4}\))