What is the equation of a line that its parallel to -3x+4y=4 and passes through the point (4,0)?

Mathematics

1 answer:

anzhelika [568]3 years ago

7 0

Answer:

y=3/4x-3

Step-by-step explanation:

Okay so to be parallel to an equation of another line, the line must have the same slope but a different y-intercept. First, you need to find the slope of the equation -3x+4y=4. The equation must be in y=mx+b format, so you first move -3x to the right by adding it on both sides, leaving you with 4y=3x+4. Next, you divide 4y by 4 in order to isolate y and do that on the other side. Now, you have y=3/4x+1.

To find the equation of the new line, you must put the point and slope into point slope form: y-y1=m(x-x1). In the point (4, 0), 4 would be x1 and 0 would be y1. so, the new equation is y-0=3/4 (x-4). now, distrubute the 3/4, leaving you with y=3/4x-3. This is correct since the slope remains the same in both equations with a different y-intercept. To check deeper, you could place point (4, 0) on a graph and then rise 3, run 4 until you get the line :) hope this helps

You might be interested in

A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An oblique rectangular prism ha

Deffense [45]

The volumes will be the same, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal.

6 0

3 years ago

Read 2 more answers

PLZ do this!!! I will give brainliest to anyone who does them all right. I need this done at 3:30 (it 2:44 right now)! No fake a

leva [86]

Answer:

A: y=1/3x+5

B: y=-2x+9

C: y=-3

D:y=2x+9

E: y=-10x+80

F:y=x-2

#1 rodney's error for

y=30x+10 is that he started off at 30 but he had to start off at 10 so it starts at (0,10) (1,40) (2,70) and keep going on by adding one to the x value and 30 to the y value

#2 rodneys error for

y=-1/2x+5 is that he went up by 1/2 instead of going down. it's a negative 1/2 so he had to go down

#3 Rodneys error for

y=x-2 is that he didn't start at (0.-2)

I'm not sure about the last picture but i think that it's

Tierra, Sharayah, Caleb, and Lang

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A rectangular lawn is 24 feet wide by 32 feet long. A sidewalk will be built along the inside edges of all four sides. The remai

levacccp [35]

So the original lawn has an area
24 × 32 = 768 the new lawn will have area 425
this means the area of the sidewalk will be 768-425=343
now the sidewalk is a certain width of we draw it out and label it x we see the lawn has an area of
$(32 - 2x)(24 - 2x) = 425 \\ 768 - 64x - 48x + 4 {x}^{2} = 425 \\ 4 {x}^{2} - 112x + 343 = 0$
use the quadratic formula to solve. then you will know how wide the sidewalk is. I will attach picture