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Slope intercept, Line Equations, 4 questions....

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Write equation in slope-intercept form: y+3= -3(x-6)

Find equation of line that goes through the given point and has given slope. Answer in slope intercept form: (-1,-5), -8

Find equation of line. write answer in slope intercept form.

"The line is parallel to -3x + 2y=9 and contains the point (-2,1)

Find the equation of line in the form y=mx+b, if possible....The line through (3,2) and the origin.

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1. Write equation in slope-intercept form: y+3= -3(x-6)
Answer -
The slope intercept form is given by y = mx + c.
where -
m = slope of the line.
c = y-intercept.
Now coming back to the given equation we have -
y+3= -3(x-6)
Now simplifying the right hand side we have -
y + 3 = -3x + 18
Subtracting 3 from both sides, we have -
y + 3 - 3 = -3x + 18 - 3
y = -3x + 15.
This is the equation in slope-intercept form.
2. Find equation of line that goes through the given point and has given slope. Answer in slope intercept form: (-1,-5), -8
Answer -
The equation of the line is given by -
(y - y1) = m(x - x1)
Given ...

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