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3 years ago

Write the equation of a line in slope-intercept form that goes through: (4,-1) and (-2,-4)

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

8 0

Answer:

y=1/2x-3

Step-by-step explanation:

1) Find slope... (y2-y1)/x2-x1–> (-4-(-1))/-2-4=-3/-6=1/2

2) Pick a coordinate and plug into equation y-y1=m(x-x1)—> y-(-1)=1/2(x-4)

3) Simplify to make y alone —> y=1/2x-3

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aleksandrvk [35]

<h2><u>PROPORTIONAL EQUATION</u></h2><h3>Exercise</h3>

Apply the means-extremes property of proportions: this allows you to cross multiply:

$\boxed{\mathsf{\dfrac{x}{4} = \dfrac{x - 6}{3}}}$

$\mathsf{\dfrac{x}{4} \searrow \dfrac{x - 6}{3}}$ ‏‏‎ ‏‏‎‎ $\mathsf{\dfrac{x}{4} \nearrow \dfrac{x-6}{3}}$ ‏‏‎‎

$\boxed{\mathsf{3x = 4(x - 6)}}$

Apply the distributive property:

$\mathsf{3x = 4(x-6)}$

$\mathsf{3x = 4(x) - 4(6)}$

$\mathsf{3x = 4x - 24}$

Add 24 to both sides:

$\mathsf{3x + 24 = 4x - 24 + 24}$

$\mathsf{3x + 24 = 4x}$

Substract 3x to both sides

$\mathsf{3x - 3x + 24 = 4x - 3x}$

$\mathsf{24 = 4x - 3x}$

$\large{\boxed{\mathsf{24 = x}}}$

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<h3><u>Answer</u>. The value of x = 24.</h3>

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3 years ago

3 + 12 + 48 + 192 + ...<br> Whats the answer

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