Respuesta :

Step-by-step explanation:

1. You have to find the gradient / slope from y = 5x + 20

y = 5x + 20

y = mx + c

With using a general form, we known that the gradient of the line is 5.

2. Use the formula "[tex]y - y_1 = m.(x - x_1)[/tex]" to find the line.

[tex]y - y_1 = m.(x - x_1)[/tex]

[tex]y - 10 = 5.(x - 0)[/tex]

[tex]y = 5x - 0 + 10[/tex]

[tex]y = 5x + 10[/tex]

Answer:

y = 5x + 10.

Step-by-step explanation:

Y = 5x + 20

The gradient m = 5

So the line parallel to it has a gradient of 5 also.

Using the point slope form of straight line:

y - y1 = m(x - x1)

Here,  m = 5, x1 = 0 and y1 = 10:

y - 10 = 5(x - 0)

y - 10 = 5x

y = 5x + 10.