Posted by Adam on Thursday, April 22, 2010 at 9:49am.
The slope of the tangent line to the parabola y=4x2–3x+5 at the point where x=–5 is:______
The equation of this tangent line can be written in the form y=mx+b where m is:_________
and where b is:______?
The first to blanks are 43, but what is b? thanks

calc  bobpursley, Thursday, April 22, 2010 at 10:41am
y'(5)= 8(5)3=43
now for the line
y= mx+b
where x,y is a point on the curve
x=5, so y= 4x^23x+5 solve for the y.
Now that you have x,y, put it in the equation y=mx+b and solve for b.
Answer This Question
Related Questions
 Calc  The slope of the tangent line to the parabola y=4x2–3x+5 at the point ...
 calculus  The slope of the tangent line to the parabola y=4x2–6x+6 at the point...
 Calculus  If f(x)=(3x)/(1+x2) find f′(4)______. Use this to find the ...
 Calc.  Find the area of the region bounded by the parabola y=x^2, the tangent ...
 Calculus  Let f(x)=21−x^2 The slope of the tangent line to the graph of f...
 Calculus  the slope of the tangent line to the curve y=(3/x) at the point (6,0....
 Calculus 251  The slope of the tangent line to the curve y= 3x^3 at the point...
 calc  Find an equation of the tangent line to the curve at the given point. y...
 Calculus  If a figure shows a function g(x) and its tangent line at the point B...
 Calculus  If a figure shows a function g(x) and its tangent line at the point B...
More Related Questions