Find the slope-intercept form for the equation of the line which passes through the point (–1, –2) and is parallel to the line that has an equation of 6x + 2y = 4

revitprojectb7

revitprojectb7

Answered question

2022-10-06

Find the slope-intercept form for the equation of the line which passes through the point (–1, –2) and is parallel to the line that has an equation of 6x + 2y = 4

Answer & Explanation

Domenigmh

Domenigmh

Beginner2022-10-07Added 7 answers

When a line is parallel to say ax+by=c, it is of the form ax+by=k, where k is some other number.
Hence a line parallel to 6x+2y=4 will be of type 6x+2y=k,
As it passes through (−1,−2)
6 ( - 1 ) + 2 ( - 2 ) = k
or −6−4=k i.e. k=−10
Hence equation of line 6x+2y=−10 or 6x+2y+10=0 or dividing by 2 it becomes 3x+y+5=0.

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