Answer:
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Step-by-step explanation:
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number 1
Answer:
Write an equation in point-slope form of the line that passes through the point (−6, 6) and has a slope of m=3/2.
Step-by-step explanation:
Answer:
.
(Equivalently,
.)
Step-by-step explanation:
Rewrite the equation of the line
in the slope-intercept form
to find the slope
.
.
.
Therefore, the slope of the line
is
.
Let
and
denote the slope of two lines on a cartesian plane. If these two lines are perpendicular to one another, then
.
In this question, the slope of the first line was already found
. Solve
for the slope
of the unknown line:
.
The following information are thus available for the requested line:
- The slope of this line is
. - This line contains the point
.
Hence, the point-slope form
would be a possible choice for the equation of this line:
.
Simplify to obtain the slope-intercept form equation of this line:
.
Equivalently:
.
Answer: y = x - 9
Step-by-step explanation:
The equation of line slope - point form is given as :
y -
= m ( x -
From the question
m = 1
= 9
= 0
Substituting into the formula , we have
y - 0 = 1 (x - 9)
y = x - 9
Therefore , the equation of the line in slope - intercept form is given as
y = x - 9