which line passes through the points (-4, -0.25) and (1.8, -3.15)?\na. y = 0.5x + 2.25\nb. y = -0.5x…

Explanation:

Step1: Calculate the slope

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Let ((x_1,y_1)=(-4,-0.25)) and ((x_2,y_2)=(1.8,-3.15)). Then (m=\frac{-3.15-(-0.25)}{1.8 - (-4)}=\frac{-3.15 + 0.25}{1.8+4}=\frac{-2.9}{5.8}=- 0.5)

Step2: Use the point - slope form

The point - slope form is (y - y_1=m(x - x_1)). Using (m=-0.5) and the point ((x_1,y_1)=(-4,-0.25)), we have (y-(-0.25)=-0.5(x - (-4))). Simplify: (y + 0.25=-0.5(x + 4)) Expand: (y+0.25=-0.5x-2) Subtract (0.25) from both sides: (y=-0.5x-2 - 0.25=-0.5x-2.25)

Answer:

B. (y = - 0.5x-2.25)