write an equation in point-point form for the line through the given point with the givedescribe how the graph of y | x| -4 is l
ike the graph of y= |x| and how it is different. slope. (-3,-7); m=-6/5
1 answer:
a) The point-slope form of the equation of a line through point (h, k) with slope m is
y - k = m(x - h)
In point-slope form, the equation of the line through (-3, -7) with slope -6/5 is
y + 7 = (-6/5)(x + 3)
b) The graph of
y = |x|-4
represents a translation downward 4 units of the graph of
y = |x|
It retains the same general shape and axis of symmetry, but will have two (2) x-intercepts instead of one (1).
y - k = m(x - h)
In point-slope form, the equation of the line through (-3, -7) with slope -6/5 is
y + 7 = (-6/5)(x + 3)
b) The graph of
y = |x|-4
represents a translation downward 4 units of the graph of
y = |x|
It retains the same general shape and axis of symmetry, but will have two (2) x-intercepts instead of one (1).
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Given:
The point divides the line segment joining points
and
.
To find:
The ratio in which he point P divides the segment AB.
Solution:
Section formula: If a point divides a segment in m:n, then the coordinates of that point are,
Let point P divides the segment AB in m:n. Then by using the section formula, we get
On comparing both sides, we get
Multiply both sides by 4.
It can be written as
Therefore, the point P divides the line segment AB in 1:5.