Write a number in the blank that will make the number sentence true 3x blank greater than or equal to one or less than
1 answer:
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Answer:
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 = -
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 = -
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
