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salejandro68
20.07.2020 •
Mathematics
Find the equation of the line through point (−2,−2) and parallel to 3x+4y=12. Use a forward slash (i.e. "/") for fractions (e.g. 1/2.
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Ответ:
3x + 4y = - 14
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 4y = 12 ( subtract 3x from both sides )
4y = - 3x + 12 ( divide all terms by 4 )
y = -
x + 3 ← in slope- intercept form
with slope m = -![\frac{3}{4}](/tpl/images/0710/0957/f11e3.png)
Parallel lines have equal slopes, thus
y = -
x + c ← is the partial equation
To find c substitute (- 2, - 2) into the partial equation
- 2 =
+ c ⇒ c = - ![\frac{7}{2}](/tpl/images/0710/0957/447a9.png)
y = -
x -
← in slope- intercept form
Multiply through by 4 to clear the fractions
4y = - 3x - 14 ( add 3x to both sides )
3x + 4y = - 14 ← in standard form
Ответ:
Here is your answer ⤵️
58 rounded to the nearest tens is 60.