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Find the slope of a line parallel to 6x + 3y = 4

Sagot :

Rvkacademicidn

Answer:

Slope of line parallel to 6x + 3y = 4 is

[tex]\boxed{- 2}[/tex]

Step-by-step explanation:

All parallel lines have the same slope since their gradients are the same

Given line 6x + 3y = 4, to determine the slope first convert to slope-intercept form which is y = mx + c

with

m being the slope
and
c the y-intercept

6x + 3y = 4

  • Subtract 6x from both sides:
    6x - 6x + 3y = 4 - 6x

    3y = 4 - 6x

    which can be written as
    3y = -6x + 4
  • Divide by 3 both sides:
    3y/3 = -6x/3 + 4/3

    y = -2x - 4/3
  • Slope of line 6x + 3y = 4 is -2

Answer

Slope of line parallel to 6x + 3y = 4 is - 2

Sparo53idn
To find the slope of a line parallel to the given line 6x + 3y = 4, we first need to determine the slope of the given line.

The equation 6x + 3y = 4 is in standard form Ax + By = C, where A = 6, B = 3, and C = 4.

To find the slope of the line, we can rearrange the equation into slope-intercept form y = mx + b, where m represents the slope.

First, solve for y:
3y = -6x + 4

Divide every term by 3:
y = -2x + 4/3

Now, the slope m of the given line is -2

Since parallel lines have the same slope, the slope of any line parallel to 6x + 3y = 4 is also -2
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