Answer:
[tex]y=x+3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
First, we could determine the slope (m). The slope is the [tex]\displaystyle\frac{rise}{run}[/tex] of the line, or the number of units it travels up over the number of units it travels to the right.
Notice how each consecutive point moves up 1 unit and right 1 unit. This makes the slope of the line 1/1, which is just 1:
[tex]y=1x+b\\y=x+b[/tex]
Now, to find the y-intercept, we must identify the value of y when the line crosses the y-axis.
The line crosses the y-axis at y=3, so therefore, the y-intercept is 3:
[tex]y=x+3[/tex]
I hope this helps!
