Answer: y = -
x + 3
Explanation:
We will create a slope-intercept form equation that represents the graphed line. This is in the form y = mx + b where m is the slope and b is the y-intercept.
For our slope, we can use the method "rise over run." Starting at (0, 3), we count down one unit and right two units to (2, 1). This gives us a slope of -1 over 2, which is equal to
.
For the y-intercept, we see that the graph intersects the y-axis at the coordinate point (0, 3). This gives us a y-intercept of 3.
This gives us an equation of:
y = mx + b
y = -
x + 3