Question

Complete the equation of the line through (-6, -5) and (-4, -4). Use exact numbers

Answer 1

In general the equation through (a,b) and (c,d) is

$(y-b)(c-a)=(x-a)(d-b)$

Can you see that this is a line and that both (a,b) and (c,d) are on it?

Here we're given (a,b)=(-6,-5) and (c,d)=(-4,-4)

$(y- -5)(-4 - -6) = (x - -6)(-4 - 5)$

$2(y+5)=x+6$

$2y + 10 = x + 6$

$x - 2y = 4$

$y = \frac 1 2 x - 2$

Either of the last two are fine answers.