Question

find the equation of a line parallel to 3x+2y=7 is​

Answer 1

Answer:

HI MATE!

The slope of the line 3x+2y=7, is

2y = -3x+7, or

y = (-3/2)x + (7/2) …(1)

A line that is parallel to the one at (1) will have a slope of (-3/2).

Its equation = y = mx+c, or

y = (-3/2)x+c. If it is to pass through (2,6) the intercept on the y-axis will be

6 = (-3/2)*2+c, or

c = 6+3 = 9

So the equation of the second line is

y = (-3/2)x+9, or

2y= -3x+18, or

3x+2y = 18 and it will parallel to 3x+2y = 7 and pass through (2,6)

Answer 2

Answer:

3x+2y=7

Step-by-step explanation:

slope of 3x+2y=7

is m=-3/2 and it's y intercept c= 7/2

so slope of the line parallel to it=-3/2

equation of required line : y=mx+ c : y=-3/2x+6/2 : 3/2 x+y =7/2 : 3x+2y=7