write the equation of the line passing through the given point that is parallel to the given line 1. y=2/3x – 2, (-3,4) 2.y=-2x Question write the equation of the line passing through the given point that is parallel to the given line 1. y=2/3x – 2, (-3,4) 2.y=-2x +7y =14 (-7,-3) in progress 0 Math Audrey 2 weeks 2021-09-13T10:00:55+00:00 2021-09-13T10:00:55+00:00 1 Answer 0

## Answers ( )

Answer for question #1: y=+ 6Step-by-step explanation:1. Find the equation of the line parallel to the line y=2x/3−2 passing through the point (−3,4).

The equation of the line in the slope-intercept form is y=2x/3−2.

The slope of the parallel line is the same: m=23.

So, the equation of the parallel line is y=2x/3+a.

To find a, we use the fact that the line should pass through the given point: 4=(23)⋅(−3)+a.

Thus, a=6.

Therefore, the equation of the line is y=2x/3+6.

Answer: y=2x/3+6.