How many solutions does the following absolute value equation have? |x+3|=4
1 answer:
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Answer: the x-intercept is (-10,0), the y-intercept is (0,45/2)
Explanation:
First, we need to determine the function describing the line.
From the table, it is obvious that the y values increase by 9 every increase of 4 of the x values. So, the slope is 9/4 and the function looks like this:
with the y-intercept (or bias) b still unknown. This can be determined by using one of the point from the table, like so:
The above function form makes it easy to read off the y-intercept, which is (0,45/2) or (0,22.5). The x-intercept is obtained by setting y = 0 and solving for x:
The x-intercept is (-10,0)