Which line represents the linear equation
–3y = 15 – 4x?

the equation –3y = 15 – 4x rewritten in slope-intercept form is .

the y-intercept is and the slope of the line is .

line is the graph of the line –3y = 15 – 4x.

Pat a) The graph in the attached figure

Part b)  

The slope is  

The y-coordinate of the y-intercept is  

Step-by-step explanation:

Part a) Which line represents the linear equation ?

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

The y-intercept is the point

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

so

For y=0

The x-intercept is the point

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

where

m is the slope

b is the y-coordinate of the y-intercept

we have

convert to slope intercept form

isolate the variable y

The slope is  

The y-coordinate of the y-intercept is  

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