Passes through (1,-1) parallel to the line through (4,1) and (2,-3)

1 answer:

4 0

Parallel means has the same slope
to find the slope
m = (y2 - y2)/ (x2 - x1)
m =( -3 - 1) / (2 - 4)
m = -4/-2
m = 2

The equation is
y = mx + b
y = 2x + b
to find the y-intercept, plug in the given coordinate
-1 = 2(1) + b
-1 = 2 + b
subtract 2 from both sides
-3 = b

The equation for the line that p<span>asses through (1,-1) and is parallel to the line through (4,1) and (2,-3) is
y = 2x - 3

Hope this helps </span>

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If there are 6 serving in a 2/3 pound lb package of pound is in each serving

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Answer:

$\boxed{\math{\frac{1}{9}\text{ lb}}}$

Step-by-step explanation:

$\text{Size of one serving} = \dfrac{\text{Total size}}{\text{No of servings}} = \dfrac{\frac{2}{3}\text{ lb}}{\text{6 servings}}\\\\\text{Change the 6 to a fraction and change divide to multiply}\\\\\dfrac{2}{3} \div 6 = \dfrac{2}{3} \times \dfrac{1}{6}$

$\text{Cancel the 2s}\\\\\dfrac{2}{3} \times \dfrac{1}{6} = \dfrac{1}{3} \times \dfrac{1}{3}\\\\\text{Multiply numerators and denominators}\\\\\dfrac{1}{3} \times \dfrac{1}{3} = \dfrac{1}{9}\\\\\text{Each serving contains }\boxed{\mathbf{\frac{1}{9}\textbf{ lb}}}$