Identify an equation in point slope form for the line parallel to y= 3/4x -4 that passes through (-1, 7)

 The equation of required line is

or

Step-by-step explanation:

Required equation is parallel to this line.

As we know the slope of parallel line is equal.

Slope of given line is

Thus, Slope of required line,

Passing point: (-1,7)

Now, we have one point and slope of equation. Using point slope form of line to find the equation of required line.

Point Slope form of line,

Hence, The equation of required line is

or

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

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step-by-step explanation: