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Question a</h2><h2>
Find the equation of the line. It has slope 4 and passes through the point (−3, −2).</h2>
As the equation of a line in slope-intercept form is
where is the slope and being the y-intercept.
here
⇒ ← is the partial equation
to find substitute into the partial equation.
So,
⇒
Therefore, is the equation of line which has slope 4 and passes through the point (−3, −2).
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Question b</h2><h2>
Find the equation of the line. It passes through the point P (2, −3) and is parallel to the line of equation y = −x + 7.</h2>
As the equation of a line in slope-intercept form is
as
here
As the point is
Using the point slope formula
Therefore, is the equation of line which passes through the point P (2, −3) and is parallel to the line of equation y = −x + 7.
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Question c</h2><h2>
Find the equation of the line. It has slope 3 and goes through the point (-2, 7).</h2>
As the equation of a line in slope-intercept form is
where is the slope and being the y-intercept.
here
⇒ ← is the partial equation
to find substitute into the partial equation.
So,
⇒
Therefore, is the equation of line which has slope 3 and passes through the point .
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</h2><h2>
Question d</h2><h2>
Find the equation of the line. It has slope -4/3 and passes through the point (-1, 7).</h2>
As the equation of a line in slope-intercept form is
where is the slope and being the y-intercept.
here
⇒ ← is the partial equation
to find substitute into the partial equation.
So,
⇒ is the equation of line which has slope and passes through the point (-1, 7).
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Question e</h2><h2>
Find the equation of the line. It has Slope 3/2 and cuts to the vertical axis Y at point - 2.</h2>
As
and
at , the value of
So
the y-intercept will be
Let the equation be
so
Therefore, the equation of the line which It has Slope 3/2 and cuts to the vertical axis Y at point - 2.
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Keywords: equation of a line , slop
, y-intercept, slop-intercept form
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