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3 years ago

What is the equation of the line with a slope of -2 that passes through the

Mathematics

1 answer:

Vladimir79 [104]3 years ago

4 0

The point-slope form of the line:

$y-y_1=m(x-x_1)$

We have the slope m = -2 and the point (4, -3). Substitute:

$y-(-3)=-2(x-4)\\\\\boxed{y+3=-2(x-4)}$

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Urgent!! please help )):

alisha [4.7K]

The 16th term is: 53

Further explanation:

We have to find the general formula first

The general form is:

$a_n=a_1+(n-1)d\\Given\\a_1=8\\d=3\\Putting\ the\ values\ in\ the\ formula\\a_n=8+(n-1)(3)\\a_n=8+3n-3\\a_n=5+3n\\For\ 16th\ term, put\ n=16\\a_n=5+3(16)\\a_n=5+48\\a_n=53$

The 16th term is: 53

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

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2 years ago

James estimate the product of 48 and 53 is that reasonable

Debora [2.8K]

50 x 50= 2500.............

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2 years ago

Verify if f and g are inverse functions.

Andrej [43]

They are not, because inverse means multiply by -1, therefore, there should be a positive sign in front of 2 and a negative in front of x for G(x) = x - 2

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2 years ago

The mean age of swimmers for all these teams is 10 Which team has the greatest MAD?

Ymorist [56]

The answer is Jasons!

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2 years ago

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Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form? 5x + 3y = 18 5x – 3y = 30

ddd [48]

$\bf C(\stackrel{x_1}{3}~,~\stackrel{y_1}{-5})\qquad 
D(\stackrel{x_2}{6}~,~\stackrel{y_2}{0})
\\\\\\
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-(-5)}{6-3}\implies \cfrac{0+5}{6-3}\implies \cfrac{5}{3}
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{5}{3}(x-3)\implies y+5=\cfrac{5}{3}(x-3)$

$\bf \stackrel{\textit{multiplying both sides by LCD of 3}}{3(y+5)=3\left[ \cfrac{5}{3}(x-3) \right]}\implies 3y+15=5(x-3)
\\\\\\
3y+15=5x-15\implies -5x+3y=-30\implies \stackrel{\textit{multiplying by -1}}{5x-3y=30}$

bearing in mind the standard form uses all integers, and the x-variable cannot have a negative coefficient.

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3 years ago

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