Answer:
y = 2x - 6
Explanation:
It's not the only way, but I like to use point-slope form. Point-slope form is:
y - y₁ = m(x - x₁), where y₁ is any given y coordinate, x₁ is any given x coordinate, and m is the slope. Let's figure out the coordinates first.
Any coordinate can be used and you'll get the same answer. I'll use (4, 2) for this example: y - 2 = m(x - 4).
Next let's find m, the slope. We do this by using rise/run. The slope in this case is 6/3 = 2/1 = 2. The slope is 2. So...
y - 2 = 2(x - 4)
Now, let's simplify by using the distributive property:
y - 2 = 2*x - 2*4
y - 2 = 2x - 8.
Lastly, let's take a look at slope-intercept form: y = mx + b. The y is isolated, so to isolate y in our current equation, simply add 2 to both sides.
Your final answer should be y = 2x - 6.
Hope this helped!