Question

select the correct answer. the slope of \overleftrightarrow{fg} is 4. point f is located at (2,3). which could be the coordinates of point g? a. (6,4) b. (3,7) c. (6,7) d. (8,12)

Explanation:

Step1: Recall slope formula

The slope between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$. Here, $m=4$, $(x_1,y_1)=(2,3)$, and $(x_2,y_2)$ is point $G$.

Step2: Test Option A

Substitute $(6,4)$ into the formula: $\frac{4-3}{6-2}=\frac{1}{4}
eq4$.

Step3: Test Option B

Substitute $(3,7)$ into the formula: $\frac{7-3}{3-2}=\frac{4}{1}=4$.

Step4: Verify remaining options (optional)

For Option C: $\frac{7-3}{6-2}=\frac{4}{4}=1
eq4$. For Option D: $\frac{12-3}{8-2}=\frac{9}{6}=1.5
eq4$.

Answer:

B. (3,7)