Question

Derive the equation of the line that goes through (−3, 1) and (0, −5).

Answer 1

• (-3,1)
• (0,-5)

Slope:-

• m=-6/3=-2

Equation in point slope form

• y-1=-2(x+3)
• y-1=-2x-6
• y=-2x-5

Answer 2

Answer:

C)  y = -2x - 5

Step-by-step explanation:

$\sf let \ (x_1,y_1)=(-3,1)\\\\let \ (x_2,y_2)=(0,-5)$

$\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-1}{0-(-3)}=-2$

Point-slope formula: $\sf y-y_1=m(x-x_1)$

$\sf \implies y-1=-2(x-(-3))$

$\sf \implies y=-2x-5$