Answer:
.
Step-by-step explanation:
All non-horizontal line in the cartesian plane intersects the
-axis at a unique point. The
-coordinate of that point is the
-intercept of this line.
The
-intercept of the line in this question is
. Thus, the
-coordinate of the intersection of this line and the
-axis would be
.
Like all other points on the
-axis, the
-coordinate of that intersection would be
. Therefore, the coordinates of that intersection would be
.
Similarly, the
-intercept of a non-vertical line is the
-coordinate of the point where that line intersects the
-axis.
The slope-intercept form of a line is in the form
, where
is the slope of the line and
is the
-intercept of this line. Both
and
are constants.
It is given that the
-intercept of the line in this question is
. Therefore,
. The slope-intercept equation of this line would be
for some slope
to be found.
All points
on this line should satisfy the equation
of this line. The
-intercept of this line,
, is a point on this line. Thus, the equation
should hold for
and
. Substitute these two values into the equation and solve for the slope
:
.
.
Therefore, the slope-intercept equation of this line would be:
.
Answer:
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Step-by-step explanation:
2.085 x 10^6 =
move the decimal 6 places to the right: 2,085,000
Answer:
3(19x -y + 2z) is equivalent to the equation above
Answer:
= 10n
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = a₂ - a₁ = 20 - 10 = 10 , then
= 10 + 10(n - 1) = 10 + 10n - 10 = 10n