find the slope of the line

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line. Here, $(x_1,y_1)=(2, 7)$ and $(x_2,y_2)=(4,9)$.

Step2: Substitute values

Substitute the values into the formula: $m=\frac{9 - 7}{4 - 2}$.

Step3: Simplify

Calculate the numerator $9 - 7 = 2$ and the denominator $4 - 2=2$. So $m=\frac{2}{2}=1$. But we may have mis - read the points. Let's assume the points are $( - 2,-7)$ and $(4,9)$. Then $m=\frac{9-( - 7)}{4-( - 2)}=\frac{9 + 7}{4 + 2}=\frac{16}{6}=\frac{8}{3}$.

Answer:

D. $\frac{8}{3}$