Question 914680
At only 1 point means the line is tangent to the curve. 
Since the slope of the line is fixed, find when the slope of the tangent line to the curve has a slope of {{{m=3}}}.
The slope of the tangent line is the value of the derivative.
{{{df/dx=4x-5}}}
So then,
{{{4x-5=3}}}
{{{4x=8}}}
{{{x=2}}}
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Find the y-coordinate now.
When {{{x=2}}}, {{{f(2)=2(4)-5(2)+3}}}
{{{f(2)=8-10+3}}}
{{{f(2)=1}}}
The line must have the same y-coordinate, so,
{{{g(2)=3(2)+k=1}}}
{{{6+k=1}}}
{{{k=-5}}}
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{{{drawing(300,300,-2,5,-2,5,grid(1),circle(2,1,0.2),graph(300,300,-2,5,-2,5,3x-5,2x^2-5x+3))}}}