All categories

3 years ago

Find the equation of a line parallel to y = 3x - 4 that passes through (-2,2).

Mathematics

1 answer:

Grace [21]3 years ago

5 0

Answer:

Slope: 3.

Equation: y = 3x + 8.

Step-by-step explanation:

Lines that are parallel to each other will have the same slopes.

So, the slope of the new line will be 3.

Since we have the slope, and a set of coordinates the line passes through, we can find the equation. So far, we have y = 3x + b. x = -2, y = 2.

2 = 3(-2) + b

3(-2) + b = 2

-6 + b = 2

b = 8

So, the equation of the line will be y = 3x + 8.

Hope this helps!

You might be interested in

Please help ASAP If f(x) = x^2-6x+2 and g(x) =sqrt x find a.) (fog) (x) b.) (gof) (-2)

Rudik [331]

$\large\begin{array}{l} \left\{\!\begin{array}{l} \mathsf{f(x)=x^2-6x+2}\\ \mathsf{g(x)=\sqrt{x}}\\ \end{array}\right. \end{array}$

$\large\begin{array}{l} \textsf{a) }\mathsf{(f\circ g)(x)}\\\\ =\mathsf{f\big[g(x)\big]}\\\\ =\mathsf{\big[g(x)\big]^2-6\cdot g(x)+2}\\\\ =\mathsf{\big[\sqrt{x}\big]^2-6\sqrt{x}+2}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(f\circ g)(x)=x-6\sqrt{x}+2} \end{array}}\qquad\checkmark \end{array}$

______

$\large\begin{array}{l} \textsf{b) }\mathsf{(g\circ f)(-2)}\\\\ =\mathsf{g\big[f(-2)\big]}\\\\ =\mathsf{\sqrt{f(-2)}}\\\\ =\mathsf{\sqrt{(-2)^2-6\cdot (-2)+2}}\\\\ =\mathsf{\sqrt{4+12+2}}\\\\ =\mathsf{\sqrt{18}}\\\\ =\mathsf{\sqrt{3^2\cdot 2}}\\\\ =\mathsf{3\sqrt{2}}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(g\circ f)(-2)=3\sqrt{2}} \end{array}}\qquad\checkmark \end{array}$

______

If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2181559

$\large\textsf{I hope this helps. :-)}$

Tags: composite function composition evaluate algebra

7 0

3 years ago

Select the best answer for the question.

fgiga [73]

The answer is D - 4/5

7 0

3 years ago

Read 2 more answers

WHOEVER SOLVES ALL OF THEM WILL BE MARKED BRAINLIEST

Alenkasestr [34]

Answer:

1. A(1;5), B(10;23), slope of 2

2. A(10;9), B(4;0), slope of 1.5

3. A(-35/4;6), B(9;-35/6), slope of -2/3

4. A(5;18), B(25,22), slope of 0.2

5. A(2/9;1/3), B(2/3,-1/3), slope of -1.5

Step-by-step explanation:

Substitute values with correct variable and slopemis coefficient of x when x and y-int. are on 1 side, y is on other side and has coefficient of 1. Hope it works!

4 0

3 years ago

Dennis is joining an online video game service. He will pay $25.50 to purchase each game plus a one-time foe of $4500 to join

insens350 [35]

Answer:

I am pretty certian it is A

Step-by-step explanation:

You add the x to 25.50 because it is unknown how many games he will buy and add the one time pay of 4,500 to enter the service/company

So it is y= 25.50x + 45

6 0

2 years ago

Read 2 more answers

Evaluate x6 + y(-9) When x= -2, y = 4

11111nata11111 [884]

Answer:

the answer is -48. _______

4 0

2 years ago