Question

Find an equation of the line passing through the given points. Use function notation to write the equation.

​(−2​,−3​) and ​(−4​,−4​)

Answer 1

Explanation:

Let A(-2,-3), B(-4,-4).

Line f(x) = y = ax + b (C)

The line passes through these points so when substituting their coordinates into (C), we get:

-3 = -2a + b

-4 = -4a + b

Solving this set of equations gives us a = 1/2; b = -2.

So the equation of this line is
`f(x)=(1)/(2)x-2`