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Answer:
The equation of the line fully simplified slope-intercept form:
Step-by-step explanation:
We know the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept
Given the points on the line
- (0, -5)
- (3, 0)
Finding the slope between the points (0, -5) and (3, 0)
We know the y-intercept can be determined by setting x = 0 and solving for y.
From the graph, it is clear that
at x = 0, y = -5
Thus, the y-intercept = b = -5
now substituting b = -5 and m = 5/3 in the slope-intercept form
Thus, the equation of the line fully simplified slope-intercept form: