Question

Write the point-slope form of an equation of the line through thepoints (-1, 4) and (-2, 2).

Answer 1

The slope of the line is given by:

$m=\frac{4-2}{(-1)-(-2)}=2$

If a line has slope m and passes through the point (a,b), its equation in the point slope form is given by: (y-b) = m(x - a)

Then, if (a,b) = (-1,4), we have: y - 4 = 2(x + 1) (option C)