SOLUTION: My homework question states: Write the equation of the linear function whose graph contains the point (-2,4) and is perpendicular to the line whose equation is 2x+y=10.
How do
Algebra.Com
Question 371607: My homework question states: Write the equation of the linear function whose graph contains the point (-2,4) and is perpendicular to the line whose equation is 2x+y=10.
How do I solve this?
Found 2 solutions by checkley77, mananth:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
(-2,4) and is perpendicular to the line whose equation is
2x+y=10 ( red line).
Y=-2X+10 THIS LINE HAS A SLOPE=-2
THEREFORE A PERPENDICULAR LINE WILL HAVE A SLOPE=+1/2 (THE NEGATIVE RECIPRICAL)
Y=mX+b where m=slope & b=the y intercept.
Substitute the values of the X & Y points & solve for b.
4=1/2*-2+b
4=-1+b
b=4+1
b=5 Thus the equation is:
Y=X/2+5 (green line)
(graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions -2x +10 and x/2 +5).
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
the given equation is 2x+y=10
re-write in slope intercept form
y=-2x+10
compare with equation
y = mx+b
slope m=-2
..
the desired line is perpendicular to this line so slope is negative reciprocal of the given line
slope = 1/2
..
passing through (-2,4)
y= mx+b
plug value of m x,y
4=1/2*-2+b
4=-1+b
b=5
so the line will be y = (1/2)x+5
...
m.ananth@hotmail.ca
RELATED QUESTIONS
Write an equation for the quadratic function whose graph contains the given vertex and... (answered by josgarithmetic)
determine the linear function whose graph is a line with a slope of 1/7 and contains the... (answered by Fombitz)
Write the equation of the line that goes through the point (-1,4) and is perpendicular to (answered by ikleyn)
Determine the linear function whose graph is a line with a slope of 3/10 and contains the (answered by solver91311)
What is an equation for the linear function whose graph contains the points (-1,-2) and... (answered by josgarithmetic)
Write an equation in slope-intercept form of a linear function f(x) whose graph satisfies (answered by fractalier)
Complete the equation for the linear function whose graph contains the point (7,8) and... (answered by Boreal,stanbon)
WRITE AN EQUATION FOR THE QUADRATIC FUNCTION WHOSE GRAPH CONTAINS THE GIVEN VERTEX AND... (answered by Fombitz)
find the equation of the quadratic function whose graph has the vertex (0,2) and contains (answered by LinnW)