SOLUTION: A line with gradiant 2 passes through point A (-1,-3) A,FIND THE EQUATION OF THE LINE ? B,FIND THE COORDINATES OF THE POINTS WHERE THE LINE CUTS THE AXES?

Algebra ->  Coordinate-system -> SOLUTION: A line with gradiant 2 passes through point A (-1,-3) A,FIND THE EQUATION OF THE LINE ? B,FIND THE COORDINATES OF THE POINTS WHERE THE LINE CUTS THE AXES?       Log On


   



Question 973567: A line with gradiant 2 passes through point A (-1,-3)
A,FIND THE EQUATION OF THE LINE ?
B,FIND THE COORDINATES OF THE POINTS WHERE THE LINE CUTS THE AXES?

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A line with gradiant 2 passes through point A (-1,-3)
A,FIND THE EQUATION OF THE LINE ?
B,FIND THE COORDINATES OF THE POINTS WHERE THE LINE CUTS THE AXES?
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Equation of a line in slope intercept form: y=mx+b, m=slope, b=y-intercept
A,Find equation of the line:
slope of given line=2
equation: y=2x+b
solve for b using coordinates of given point on the line (-1, -3)
-3=2*-1+b
b=-1
equation: y=2x-1
..
B,FIND THE COORDINATES OF THE POINTS WHERE THE LINE CUTS THE AXES?
You mean the x-axis as well as the y-axis, y-intercept and x-intercept
y-intercept=-1 (found in equation of the line)
x-intercept:
set y=0
2x-1=0
2x=1
x=1/2
x-intercept=1/2