Name 3 lines that are parallel to y=5x-2

Question

I'm learning about parallel and perpendicular lines but I don't get it I have to name 3 lines that are parallel to 5x-2

 

Answer 1

Hi Jonyae, lines that are parallel to each other have the same slope. In the line you have, the slope is 5 or correctly written, 5/1, because the slope is the change in rise (the y values) divided by the change in run (the x values.)

 

An example of a line parallel to y = 5x - 2 would be y = 5x + 6. The difference between the two lines is where they cross the y-axis.

 

Another example would the line in standard form, 10x - 2y = 8. The slope of the standard form line is: -A / B. In the example, A = 10, B = -2. The slope is -10/-2 or 5.

 

A third would be a line in the point-slope form, y - y₁ = m(x - x₁). Use the point (3, 7) and let m = 5. The line in the point-slope form is: y - 7 = 5(x - 3)

 

All three of these lines have the same slope.

 

Questions?

Answer 2

Jonyae, 

 

On a numerical level, you can simply add or subtract a constant to a line to get a parallel line.

 

So basically, any line that reads y = 5x PLUS or MINUS some number (y = 5x + 3, for example), will be parallel to y = 5x-2.

 

To grasp this visually, draw an X-Y axis, and plot out a few points of y=5x-2, and then draw the line. Use your finger to imagine moving the line over, keeping the slope the same. Moving the line over is the equivalent of adding or subtracting numbers.