# Find the coordinates of the points on the graph of #y=3x^2-2x# at which tangent line is parallel to the line #y=10x#?

##### 2 Answers

Feb 17, 2018

#### Explanation:

Two lines are parallel if they share the same slope.

Any line parallel to

Now, we have:

We try to find

=>

We use the power rule:

=>

Now, we set

=>

=>

=>

We plug this value in to get our

=>

=>

Therefore, the point is at

Feb 18, 2018

#### Explanation:

#â€¢color(white)(x)m_(color(red)"tangent")=dy/dx" at x = a"#

#y=3x^2-2x#

#rArrdy/dx=6x-2#

#y=10xtom=10#

#rArr6x-2=10rArrx=2#

#x=2toy=12-4=8#

#rArr"coordinates of point "=(2,8)#