Write an equation for the line that passes through the given points (-2,9) And (1 ,-3)

Mathematics

1 answer:

babymother [125]3 years ago

5 0

Answer:

Finding slope: y2-y1/x2-x1

3-9/1+2

=-6/2

Divide 2 from both

=-3/1 or -3

Slope= -3

Finding y-intercept= y=mx+b

Choose any point on the line to plug in the x and the y then plug in the slope.

I choose (1,3)

3=-3×1+b

3=-3+b

Add 3 to both sides

6=b

Y-intercept=6

Equation: y=-3x+6

Step-by-step explanation:

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Sergio039 [100]

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3 years ago

Помогите, пожалуйста

Cerrena [4.2K]

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$\displaystyle\tt a^{11}\cdot a^{14}=a^{11+14}=a^{25}\\\\a^{18}:a^{14}=a^{18-14}=a^4\\\\(a^5)^4=a^{5\cdot4}=a^{20}\\\\(5x)^4=5^4\cdot x^4=625x^4\\\\\bigg(\frac{a}{3}\bigg)^6=\frac{a^6}{3^6}=\frac{a^6}{729}$

$\displaystyle\tt \frac{14^{16}\cdot14^{6}}{14^{21}}=14^{16+6-21}=14^1=14\\\\\\ \frac{7^{8}\cdot7^{5}}{7^{11}}=7^{8+5-11}=7^2=49\\\\\\ (12^2-11^2)^2+(6^5+2^9)^0=(144-121)^2+1=23^2+1=529+1=530$

$\displaystyle\tt 3^{8x}=81\\\\3^{8x}=3^4\\\\8x=4\\\\x=\frac{4}{8}=\frac{1}{2}=0.5$

$\displaystyle\tt \frac{64^{6}}{4^{4}\cdot4^{16}}=\frac{(4^3)^{6}}{4^{4+16}}=\frac{4^{3\cdot6}}{4^{20}}=\frac{4^{18}}{4^{20}}=\frac{1}{4^{2}}=\frac{1}{16}$