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Andre45 [30]
4 years ago
8

What is the slope-intercept form for each equation in this system? Compare the slopes and y-intercepts to describe the graph of

the system. XP

Mathematics
2 answers:
antiseptic1488 [7]4 years ago
8 0

Answer:

D)

y = 3/4 x - 7; y = -2/5 x + 2 ; intersecting lines


Step-by-step explanation:


Slope intercept form: y = mx + b

Two equations so it's system equations


3x - 4y = 28

4y = 3x - 28

 y = 3/4 x - 7   <----slope intercept form


4x + 10y =  20

10y = -4x + 20

  y = -2/5 x + 2  <----slope intercept form


Answer is D)


Darina [25.2K]4 years ago
7 0

Answer:

Choice D is correct answer.

Step-by-step explanation:

Two equations are given:

3x-4y=28              eq(1)

4x+10y=20            eq(2)

y=mx+c is slope-intercept form of line where m is slope and c is y-intercept.

We have to make given equations in the form of slope-intercept.

eq(1)  is:

3x-4y=28

Adding -3x to both sides of above equation,we get

-3x+3x-4y=-3x+28

0-4y=-3x+28

-4y=-3x+28

Multiplying by -1/4 to both sides of above equation,we get

-1/4(-4y)=-1/4(-3x+28)

y=-1/4(-3x)-1/4(28)

y=3/4x-7  is slope intercept form of eq(1) where m=3/4 and c=-7.

eq(2) is:

4x+10y=20

Adding -4x to both sides of above equation,we get

-4x+4x+10y=-4x+20

0+10y=-4x+20

10y=-4x+20

Multiplying by 1/10 to both sides of above equations ,we get:

1/10(10y)=1/10(-4x+20)

y=1/10(-4x)+1/10(20)

y=-2/5x+2 is slope-intercept form of eq(2) where m=-2/5 and c=2.

As we observed both of the lines have different slopes,so they have one solution.

hence,they are intersecting lines.

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