## anonymous 4 years ago find the equation of the line passing through the given points A/a(-2,-4) & b(-1,5) b/ c(2,-4) & d(-1,5). ?

1. 2bornot2b

Solution to part A $y-(-4)=\frac{-4-5}{-2-(-1)}(x-(-2))$$\implies y+4=\frac{9}{1}(x+2)$$\implies y+4=9x+18\implies y=9x+14$

2. anonymous

First find the slope:$m = \frac{\Delta y}{\Delta x} = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{5 - (-4)}{(-1)-(-2)} = \frac{9}{1} = 9$ Then, using the given points and the slope, plug them in to the point-slope formula:$(y - y_{1}) = m(x-x_{1})$$[y-(-4)] = 9[x-(-2)]$$y+4 = 9(x+2)$You can then simplify it into slope-intercept form:$y +4 = 9x+18$$y = 9x+14$