68. Analyzing a Line A line is represented by the equation ax+by=4 . (a) When...

poveli1e

poveli1e

Answered

2022-01-31

68. Analyzing a Line A line is represented by the equation ax+by=4 .
(a) When is the line parallel to the x-axis?

Answer & Explanation

tipoule137p

tipoule137p

Expert

2022-02-01Added 10 answers

First, write the equation of line ax+by=4 in slope-intercept form, that is in the form of y=mx+c; here, m is the slope and c is the y-intercept of the line.
ax+by=4
by=ax+4
y=axb+4b
On comparing the above equation of line with standard slope-intercept form of line, the slope m is ab.
The line is parallel of x-axis when the slope of the line is 0.
Apply the condition that the line is parallel of x-axis when the slope of the line is 0, that is m=0. Here, m=ab.
m=0
ab=0
a=0
Thus, the line ax+by=4 is parallel to x-axis when a=0.

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