Question

. Which of the following is the equation of a line that passes through (-2, -1) and (-4, -3)?

Answer 1

The slope is change of y over change of x
(-1-(-3))/(-2-(-4) = (-1+3)/(-2+4) = 2/2=1
so the slope of the line is 1
We also know that an equation of a line is y=mx+b
where m is the slope and b is the y intercept

Answer 2

So we have 2 diff points here so lets plug in (-4,-3) into the equation
-3=(1)(-4)+b
-3=-4+b
1=b
so the line of equation that passes thru the points is y=x+1