Respuesta :

Answer:

y = 7x - 5

Step-by-step explanation:

y = 7x+2 we see the gradient is 7 (x 0) + 2 = Since the line is parallel to y= 7x +2

The new line has a slope of 7 + 2 as the intercept at y.

y - 0 = 7 ( x - 0)

y - 1/7 = x - 0

y = 7x - 5

As 7 -5 = 2

Hence equation of line becomes y=7x.

What is Equation of line?

You must ensure that both equations have the same slope in order to find an equation for a line that is parallel to another. The m reflects your slope value in the general equation of a line, y=mx+b.

How to solve?

Now given line y=7x+2 ,this line is parallel to another line which passes through origin(0,0)

Hence putting 0,0 in general equation to find equation of parallel line

⇒y=mx+c

⇒0=m(0)+c

⇒0=c

where m=7 as parallel lines have same slope.

Hence equation of line becomes y=7x.

Learn more about equation of lines https://brainly.com/question/13763238

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