Question

Find an equation of the line passing through the given points. Use function notation to write the equation.(-3,-4) and (-6,-3)

Answer 1

The slope of the line is

$m=\frac{-3--4}{-6--3}=\frac{1}{-3}$

And now we find the y-intercept and to do that we use the point (-3, -4):

$-4=-\frac{1}{3}(-3)+b$$-4=1+b$$b=-5$

Hence, the equation of the line is

$y=-\frac{1}{3}x-5$