Question

PLEASE HELP!!!!Which equation shows y=3/4x−5/2 in standard form?

A) 3x−4y=10
B)4x−3y=10
C)4x−3y=−10
D)3x−4y=−10

2.What is the slope-intercept form of the linear equation x + 4y = 12? Enter your answer in the box.

3.Graph the equation on the coordinate plane. y=1/2x

Answer 1

Answer: 1. A) 3x−4y=10

Step-by-step explanation:

Answer 2

Answer: 1. A) 3x−4y=10

2.
`y=-(x)/(4)+3`

3. In the attachment.

Step-by-step explanation:

1. Given equation=
`y=(3)/(4)x-(5)/(2)`

To reduce it into standard form , multiply both sides by 4,we get

`4y=4((3)/(4)x-(5)/(2))\\\Rightarrow4y=3x-10......[distributive\ property]\\\Rightarrow3x-4y=10` which is option A.

2. Given linear equation : x+4y=12

The standard slope intercept form is given by y=mx+c where m is the slope and c is the constant.

To reduce given linear equation subtract x from both sides, we get

4y=12-x

Divide 4 on both sides.

`\Rightarrow\ y=(12-x)/(4)=3-(x)/(4)\\\Rightarrow\ y=-(x)/(4)+3` is the slope-intercept form of the linear equation x + 4y = 12.

3. To graph equation
`y=(1)/(2)x` on the coordinate plane.

We need to find points to plot the line

Put x=0,we get y=0

Put x=2,we get y=1

Thus we have points (0,0) and (2,1) to plot the line on the graph.