What is an equation of the line that passes through points (4,4) and (8,5)

Question

What is an equation of the line that passes through points (4,4) and (8,5)

Answer 1

We can use the point slope formula y-y₀ = m(x-x₀) if we let (x₀,y₀) = (4,4) and (x₁,y₁) = (8,5)

We can find m if plug in x₁ and y₁ into the point slope formula: 5-4 = m(8-4)

So, 1=m(4) and divide by 4: m=1/4

Next, we can plug into the original point slope formula for (x₀,y₀) = (4,4) and m=1/4: y-4 = (1/4)(x-4)

We can put this in the traditional linear equation form y=mx+b.

Distribute the (1/4): y-4=(x/4)-1

Add 4 to both sides: y = (x/4)+3