Jacques needs to convert the function f(x) = x2 − 6x + 14 to vertex form, f(x) = (x − h)2 + k, in order to find the minimum.
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Given:
The point, (4, -3)
The line,
To find an equation in slope-intercept form for the line that passes through (4,-3) and is parallel to the given line:
The slope of the line is,
Since the given line is parallel to the new line, so the slope will be same for the both.
Using the point-slope formula,
Substitute the point and slope we get,
Hence, the equation in slope-intercept form for the line is,