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)

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Audrey 2 weeks 2021-09-13T10:00:55+00:00 1 Answer 0

Answers ( )

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    2021-09-13T10:02:42+00:00

    Answer for question #1:  y= \frac{2x}{3}+ 6

    Step-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.

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45:7+7-4:2-5:5*4+35:2 =? ( )