Answer:
17) [tex]- \frac{3}{2}[/tex]
18) [tex]\frac{5}{4}[/tex]
19) [tex]-\frac{1}{2}[/tex]
20) [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Slope intercept form: y = mx + b
y = (x , y)
x = (x , y)
slope = m
b = y-intercept
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PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
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17) -4y + 16 = 6x
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 16 from both sides of the equation:
-4y + 16 (-16) = 6x (-16)
-4y = 6x- 16
Next, divide -4 from both sides of the equation:
(-4y)/-4 = (6x - 16)/-4
y = (6x)/-4 + (-16)/-4
y = -3x/2 + 4
Slope: [tex]-\frac{3}{2}[/tex]
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18) 0 = -12y -36 + 15x
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 12y to both sides of the equation:
0 (+12y) = - 12y (+12y) + 15x - 36
12y = 15x - 36
Next, divide 12 from both sides of the equation to isolate the variable, y:
(12y)/12 = (15x - 36)/12
y = (5/4)x - 3
Slope: [tex]\frac{5}{4}[/tex]
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19) 3x = -6y
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
Divide -6 from both sides of the equation:
(3x)/-6 = (-6y)/-6
y = 3x/-6
y = -(3/6)x
Simplify. Divide common factors from both the numerator and denominator.
-(3/6)/(3/3) = - 1/2
Slope: [tex]-\frac{1}{2}[/tex]
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20) -2x -5 = -5y
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
Divide -5 from both sides of the equation:
(-2x - 5)/-5 = (-5y)/-5
y = (-2x - 5)/-5
y = (2/5)x + 1
Slope: [tex]\frac{2}{5}[/tex]
