Answer:
y = 1/3x + 6
Explanation:
The general equation for the slope-intercept form is y = mx + b, where
- (x, y) are any points on the line,
- m is the slope,
- and b is the y-intercept.
Finding m, the slope:
We can find m, the slope of the line using the slope formula, which is:
m = (y2 - y1) / (x2 -x1), where
- m is the slope,
- (x1, y1) is one point on the line,
- and (x2, y2) is another point on the line.
We see from that graph that that line passes through points (6, 0) and (3, 7). Thus, we can allow (3, 7) to be our (x2, y2) point and (6, 0) to be our (x1, y1) point:
m = (7 - 6) / (3 -0)
m = 1/3
Thus, the slope of the line is 1/3.
Finding b, the y-intercept:
We see that the line intersects the y-axis at (6, 0). We always use the x-coordinate as the y-intercept. Thus, the y-intercept is 6.
Putting together the equation of the line:
Since the slope of the line is 1/3 and the y-intercept is 6, the equation for the graph in slope-intercept form is y = 1/3x + 6.