Question

what is the equation in standard form of the lie that passes through (-7, -16) and (5, 20)?
4x - y = 4
3x - y = -5
x - y = -15
2x - y = 1

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-7,-16)$ and $(x_2,y_2)=(5,20)$. Then $m=\frac{20 - (-16)}{5-(-7)}=\frac{20 + 16}{5 + 7}=\frac{36}{12}=3$.

Step2: Use the point - slope form

The point - slope form is $y - y_1=m(x - x_1)$. Using the point $(5,20)$ and $m = 3$, we have $y - 20=3(x - 5)$.

Step3: Convert to standard form

Expand the point - slope form: $y-20 = 3x-15$. Rearrange to get $3x-y=- 5$.

Answer:

B. $3x - y=-5$