Answer:
y = 3/2x +1
Explanation:
You want the equation of the line through point (2, 4) parallel to y = 6/4x -14.
Point-slope form
The slope of the desired line is the same as that of the given line: 6/4 = 3/2. The point-slope equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
The line with slope 3/2 through point (2, 4) is ...
y -4 = 3/2(x -2)
Slope-intercept form
This can be rearranged to slope-intercept form:
y = 3/2x -3 +4 . . . . . eliminate parentheses, add 4
y = 3/2x +1 . . . . . parallel line through point (2, 4)
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