Question

select the correct answer from each drop-down menu.jamal is finding the length, $d$, of the line segment. his work so far is shown. what is jamals next step?jamal should find the $\boldsymbol{□}$ by $\boldsymbol{□}$

Explanation:

Step1: Identify coordinates

The endpoints are $(x_1,y_1)=(-2,4)$ and $(x_2,y_2)=(1,-3)$.

Step2: Recall distance formula

The distance formula is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$.

Step3: Calculate coordinate differences

First find $x_2-x_1=1-(-2)=3$, $y_2-y_1=-3-4=-7$.

Step4: Next step: square differences

Square the differences: $(3)^2=9$, $(-7)^2=49$.

Answer:

Jamal should find the sum of the squares of the horizontal and vertical distances by calculating $(x_2-x_1)^2 + (y_2-y_1)^2$ (or substituting the values: $3^2 + (-7)^2 = 9 + 49$)