Question

Equation of the line parallel to 2x+3y=8 is

Answer 1

Step-by-step explanation:

4x+6y=19

c should not be 16

Answer 2

Equation of line parallel to 2x + 3y = 8 is​ 2x + 3y = -9

Solution:

Given that,

We have to find equation of line parallel to 2x + 3y = 8

If two lines are parallel, then their slopes must be equal

Find the slope of 2x + 3y = 8

Equation of line is y = mx + c

Where, "m" is the slope of line ( coefficient of x )

From given,

$2x + 3y = 8 \\\\3y = -2x + 8\\\\y = \frac{-2}{3}x + \frac{8}{3}$

Thus, slope is given as:

$m = \frac{-2}{3}$

Thus equation of line parallel is:

2x + 3y = -9

Here, slope is same and only y intercept differs

Thus equation of the line parallel to 2x + 3y = 8 is  2x + 3y = -9

Learn more:

Write down the equation of the line parallel to x-2y+8=0 passing through the point (1,2).

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