What is the equation in point-slope form of the line passing through (-3, -4) and (0, 2)?

A. (y - 8) = 2(x - 3)

B. (y + 4) = 2(x + 3) - my answer

C. (y + 3) = -2(x + 4)

D. (y - 2) = -2(x + 4)

Question

What is the equation in point-slope form of the line passing through (-3, -4) and (0, 2)? 

A. (y - 8) = 2(x - 3)

B. (y + 4) = 2(x + 3) - my answer  

C. (y + 3) = -2(x + 4)

D. (y - 2) = -2(x + 4)

mathmale · Answer

First, use the slope formula to find the slope of the line segment connecting the 2 given points.

Call this slope m.

the "point-slope form of the equation of a straight line" is $$y-y _{1}=m(x-x _{1})$$

mathmale · Answer

Substitute your numeric value for the slope into this equation (replacing 'm').

Next, choose either one of the given points.  Subst. its x value for x_1; subst. its y value for y_1.  Please show your work if you want feedback on it.