Math
posted by Anonymous .
A line intersects the graph of y=x^2 twice. One point has an xcoordinate of 4, and the other point has an x coordinate of 2.
A. Find the equation of the line.
B. Find the measure of the angle that the line makes with the xaxis.

when x=4, y = 16
when x = 2, y = 4
two intersection points are (4,16) and (2,4)
slope = (416)/(2+4) = 12/6 = 2
equation of line:
y = 2x + b, but (2,4) lies on it, so
4 = 4 + b
b = 8
equation of line:
y = 2x + 8
a line with a slope of 2 makes and angle of
tan^1 (2) or 116.565°
check: tan 116.565 = 2 
Thank you very very much, I really appreciate this.
Respond to this Question
Similar Questions

math
A,B are two points on a given line L.L is the midpoint of the section AB. find the coordinate of point B if the coordinate of A=7 and the coordinate of L=4 
College Math
2008 (2nd)Course24.1 We are to find a function f(x) such that its derivative is x^2+x1 and the graph of y=f(x) is tangent to the straight line y=x+1. First we find the coordinates of the point at which y=f(x) and y=x+1 are tangent.Since … 
Algebra
A line intersects the graph of y= x^2 twice. One point has an x coordinate of 4, and the other point has an xcoordinate of 2. A) Draw a sketch of both graphs, and find the equation of the line. B) Find the measure of the angle that … 
Algebra
A line intersects the graph of y= x^2 twice. One point has an x coordinate of 4, and the other point has an xcoordinate of 2. A) Draw a sketch of both graphs, and find the equation of the line. B) Find the measure of the angle that … 
Geometry
In the standard (x,y) coordinate plane, if the xcoordinate of each point on a line is 4 less than twice its ycoordinate, what is the slope of the line? 
Calc
Line L is tangent to the graph of y= x (x^2/500) at the point Q a) find the x coordinate of point Q B) right an equation for line L C) suppose the graph above were a hill (measured in feet). There is a 50 foot tree growing vertically … 
Calc
Line L is tangent to the graph of y= x (x^2/500) at the point Q a) find the x coordinate of point Q B) right an equation for line L C) suppose the graph above were a hill (measured in feet). There is a 50 foot tree growing vertically … 
calculus
1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 
Math
A line 'l' intersects line 'm' at point A at 45 degree angle. B and C are points on line m, where the distance from B to A is equal to the distance from A to C. How many points on line 'l' are equidistant from points B and C? 
Calculus AB
Sorry but I've got a lot of problems that I don't understand. 1) Let f(x)= (3x1)e^x. For which value of x is the slope of the tangent line to f positive?