Write an equation of a line that is parel to 3/4x + 1 and passes through the point (4, -2).

Parallel lines have the same slope.

We have the line y = 3/4x + 1.

Then the equation of a parallel line is y = 3/4x + b.

The line passes through the point (4, -2). Put the coordinates of the point to the equation of a line:

-2 = 3/4(4) + b

-2 = 3 + b      subtract 3 from both sides

-5 = b

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.