Answer:
y = x + 3 or y = 1x + 3
Step-by-step explanation:
Since we're just going to find the equation (assuming it's slope-intercept form, which is y = mx + b), our jobs will be relatively simple!
Let's start with the first step and identify the y-intercept, which is the easiest step.
That will be (0,3), as the line intercepts the y-axis there.
Next, let's find the slope of the line using [tex]\frac{rise}{run}[/tex] or [tex]\frac{y_{2}-{y}_{1}}{x_{2}-{x}_{1}}[/tex]. Just be careful when using [tex]\frac{rise}{run}[/tex] that you correctly identify the scale the axis' are using.
For now, I'll use [tex]\frac{y_{2}-{y}_{1}}{x_{2}-{x}_{1}}[/tex]. Let's pick two points... (0,3) and (1,4).
—> [tex]\frac{4-3}{1-0}[/tex] = [tex]\frac{1}{1}[/tex]
This will be our slope, 1.
We now have our answer, y = 1x + 3.
Hope that helped!
