All categories

2 years ago

What is an equation of the line that passes through the point (-2,-8) and has a slope of 3?

Mathematics

1 answer:

nignag [31]2 years ago

7 0

Answer:

y = 3x - 2

Step-by-step explanation:

Use the point-slope equation since we are given a point that the line passes through and its slope:

y - y1 = m(x - x1)

(-2, -8), m = 3

Substitute these values into the equation.

y - (-8) = 3(x - (-2))
y + 8 = 3(x + 2)
y + 8 = 3x + 6
y = 3x - 2

The equation of the line that passes through the point (-2, -8) and has a slope of 3 is y = 3x - 2.

You might be interested in

Translate this sentence into an inequality<br> PLZ HELP ME!

Anna11 [10]

Answer:

Step-by-step explanation:

(b+8)≤18

5 0

3 years ago

2 miles or 3 kilometers which is bigger

Grace [21]

2 miles is bigger because 3 kilometers is 1.86 miles when converted to miles.

5 0

3 years ago

Read 2 more answers

Find the equation of the line.

Alex

Answer:

Y=4x-9

Step-by-step explanation:

The line is at -9 when it's on the y axis

It goes up 4 over 1

6 0

3 years ago

What is the distance between points (1, 9) and (9, -6

Nookie1986 [14]

Answer:

17 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (1, 9) and (x₂, y₂ ) = (9, - 6)

d = $\sqrt{(9-1)^2+(-6-9)^2}$

= $\sqrt{8^2+(-15)^2}$

= $\sqrt{64+225}$

= $\sqrt{289}$

= 17

5 0

3 years ago

Let logbA=5;logbC=7;logbD=2 what is the value of logb(A^5C^2/D^6)

Alisiya [41]

Answer:

Step-by-step explanation:

$\text{De}\text{finition of logarithm}\ \log_ab=c\iff a^c=b.\\\\\log_bA=5\iff A=b^5\\\\\log_bC=7\iff C=b^7\\\\\log_bD=2\iff D=b^2\\\\\dfrac{A^5C^2}{D^6}=\dfrac{(b^5)^5(b^7)^2}{(b^2)^6}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\dfrac{b^{25}b^{14}}{b^{12}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\ \text{and}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\=b^{25+14-12}=b^{27}\\\Downarrow\\\\\log_b\left(\dfrac{A^5C^2}{D^6}\right)=\log_bb^{27}\qquad\text{use}\ \log_aa^n=n\\\\\log_b\left(\dfrac{A^5C^2}{D^6}\right)=27$

8 0

3 years ago