what are the co-ordinates of the points of intersection of the lines x + 3y =7 and 2x+y= -1 ?
a) (2,-3). b) (-2,3). c) (2,3). d) (-2,-3)
Answers
Answered by
1
Step-by-step explanation:
The equation of a line with a y-intercept of c and a slope
of m is given as y=mx + c.
The line we have to determine is
parallel to the line 2x - 3y = 7. This is possible if they have the same
slope.
2x - 3y = 7
=>
3y = 2x - 7
=> y = (2/3)x -
(7/3)
The slope of the line we have to determine is (2/3).
Its y-intercept is 4, this gives the equation of the line
as
y = (2/3)x + 4
=> 3y
= 2x + 12
=> 2x - 3y + 12 =
0
Where the line intersects the x-axis y =
0
=> 2x = -12
=>
x = -6
The coordinates of the point where it intersect the
x- axis is (-6 , 0)
The required equation of
the line is 2x - 3y + 12 = 0 and the coordinates of the point where it intersects the
x-axis are (-6 , 0)
Answered by
4
Answer:
c) (2,3) is the point of intersection
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