All categories

3 years ago

Write an equation of the line with y-intercept 3 that is parallel to y=-3/4x-4

Mathematics

1 answer:

Bond [772]3 years ago

4 0

Answer:

y = -(3/4)x + 3

Step-by-step explanation:

Any line parallel to y = -(3/4)x - 4 will have the same equation, except that the y-intercept will be different. Here we need only replace that -4 intercept with 3, obtaining:

y = -(3/4)x + 3.

You might be interested in

Find the 52nd term of the given arithmetic sequence-30, -38, -46, -54...

torisob [31]

The sequence is given to be:

$-30,-38,-46,-54...$

The nth term of an arithmetic sequence is calculated using the formula:

$a_n=a_1+(n-1)d$

where a₁ is the first term, n is the number of terms, and d is the common difference.

From the given sequence, the following parameters can be gotten:

$\begin{gathered} a_1=-30 \\ d=-38-(-30)=-8 \end{gathered}$

Therefore, the parameters can be substituted into the formula to find the 52nd term:

$\begin{gathered} n=52 \\ \therefore \\ a_{52}=-30+(52-1)(-8) \\ a_{52}=-30+51(-8)=-30-408 \\ a_{52}=-438 \end{gathered}$

The 52nd term is -438.

8 0

1 year ago

the graph of the absolute value parent function is vertically stretched by a factor of three, then shifted two units left &

ahrayia [7]

Answer:

y = 3 | x + 2 | - 5

Step-by-step explanation:

The absolute value function is:

y = | x |

Step 1. Function is vertically stretched by a factor of 3:

y = 3 * | x |

Step 2. Shifted two units left:

y = 3 | x + 2 |

Step 3. Shifted 5 units down:

y = 3 | x + 2 | - 5

See attached

Steps are Black → Blue → Green → Red

6 0

3 years ago

Solve the equation by factoring. x² + 2x - 63 = 0 x = -9, [?]

xeze [42]

Step-by-step explanation:

x² + 2x - 63 = 0

(x+9)(x-7)=0

x=-9 x=7

7 0

1 year ago

a line passes through the points R(-1,-5) and S(-3,-1). write the equation of the line through the point A(4,0)that is parallel

Nimfa-mama [501]

I don't know how to solve this but you can go to desmos.com and it will graph it for you.

Hope this helps make your life easier!

6 0

3 years ago

What is the slope of the line? Just put the number that represents the slope (no units). *

Alex777 [14]

Answer:

3/3 or just 3.

Step-by-step explanation:

everytime the line crosses the x and y coordinates is basically a plot. so counting from the bottom left hand corner to the "plot" in the middle is 3/3 because it rises three and runs positive 3.

8 0

3 years ago