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Gnom [1K]
2 years ago
11

Which line represents the linear equation

Mathematics
2 answers:
Alexxx [7]2 years ago
7 0

hopefully the photo helps

zzz [600]2 years ago
4 0

Answer:

Pat a) The graph in the attached figure

Part b)  y=(4/3)x-5

The slope is  m=(4/3)

The y-coordinate of the y-intercept is  b=-5

Step-by-step explanation:

Part a) Which line represents the linear equation -3y=15-4x?

To graph the linear equation find the intercepts

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

-3y=15-4(0)

-3y=15

y=-5

The y-intercept is the point (0,-5)

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

-3(0)=15-4x

4x=15

x=15/4=3.75

The x-intercept is the point (3.75,0)

Plot the intercepts to graph the linear equation

see the attached figure

Part b) Rewritten in slope-intercept form

we know that

The equation of the line into slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

we have

-3y=15-4x

convert to slope intercept form

isolate the variable y

3y=4x-15

y=(4/3)x-5

The slope is  m=(4/3)

The y-coordinate of the y-intercept is  b=-5

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