I need help please, I’m very confused

5: given y=2x-2 new y=2x+2

6: given y=-1/4x+4 new y=-1/4x+7

Step-by-step explanation:

5.

Equation for given line: y = 2x - 2

Equation for new line: y = 2x +3

6.

Equation for given line: y = -0.25x + 4

Equation for new line: y = -0.25x + 3

Step-by-step explanation:

You can find the equation for the given line using the formula y = mx + b where m is the slope and b is the y-intercept. When the slope for #5 hits the y-axis, that is known as the y-intercept so the b part in the formula, y = mx + b, would be -2 since it hits the y-axis at -2. Now the slope for #5 would be 2 because every x-coordinate is 2 y-coordinate. That means every time x goes to the right, y goes up twice.

The same is true for #6 except it's negative with a different slope and y-intercept but the concept is the same.

To find a line parallel to the given line, it can have any y-intercept you would like, it just needs to have the same slope as the given line.

2

step-by-2step explanation:

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.