Answer:
y = 6/5x - 6
Explanation:
The general equation for the slope-intercept form is given by:
y = mx + b, where
- m is the slope,
- and b is the y-intercept.
Step 1: Find m, the slope of the line:
We can find the slope of a line using the slope formula, which is given by:
m = (y2 - y1) / (x2 - x1), where
- m is the slope,
- (x1, y1) is one point on the line,
- and (x2, y2) is another point.
We can see from the graph that passes through (0, -6) and (5, 0).
Thus, we can plug in (0, -6) for (x1, y1) and (5, 0) for (x2, y2) into the slope formula to find m, the slope of the line:
m = (0 - (-6)) / (5 - 0)
m = (0 + 6) / (5)
m = 6/5
Thus, the slope is 6/5.
Step 2: Find b, the y-intercept of the line:
We see that the line intercepts the y-axis at the point (0, -6).
Thus, the y-intercept is -6.
Step 3: Form the equation in slope-intercept form
Therefore the equation of the line is y = 6/5x - 6.