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Point Slope Form
Contributed by: Funicella
where the line passes through the point (x1, y1)
and has a slope of "m".
The Point-Slope form of a line is given:
y - y= m(x - x1
Point-Slope Form
Write the equation of a line that passes 
through (2, 6) with a slope of 4.
Write the equation of the line that passes through(-2, -5) with a slope of ½.
y+5=½(x+2)
y-5= ½(x-2)
y+2= ½(x+5)
y-2=½(x-5)
Determine the slope and a point on the line:
                  y + 3 = ⅔(x - 12)
m=⅔ point: (12, -3)
m=⅔ point: (-12, 3)
m=⅔ point: (-3, 12)
m=-⅔ point: (-12, 3)
Write the equation of a line through (5, -2) with m=-⅝.

Write the equation of the line with a slope of 2 passingthrough the point (-4, 3).
y-3=2(x+4)
y-3=-2(x+4)
y+3=2(x-4)
III
II
Equation:
Write the coordinates of the point shown in Quadrant III. Write the slope of the line.Write the equation of the line in Point-Slope Form.
Point:
Slope: 
IV
I
III
II
Equation:
Write the coordinates of the point shown in Quadrant IV. Write the slope of the line.Write the equation of the line in Point-Slope Form.
Slope:
Point: 
IV
I
III
II
Write the coordinates of the point shown in Quadrant I. Write the slope of the line.Write the equation of the line in Point-Slope Form.
Equation:
Slope: 
Point:
IV
I
III
II
Write the equation of the line whose graph is shown, andwhich passes through the given point in Quadrant I.Write the equation in Point-Slope Form.
IV
I
III
II
Write the equation of the line whose graph is shown, andwhich passes through the given point in Quadrant III.Write the equation in Point-Slope Form.
IV
I

Point-Slope form of a line

Ax + By = C

y=mx+b

y - y1 = m(x - x1)

Write the equation of the line in

point-slope form:

given  (4, 2) and the slope of 5.

Write the equation of the line in

point-slope form:

given  (-3, 1) and the slope of 1/2.

Write the equation of the line in

point-slope form:

given  (-1,8) and the slope of 2.

Write the equation of the line in

point-slope form:

given  (6, 7) and the slope of 1/4.

Write the equation of the line in

point-slope form:

given  (-3, -2) and the slope of 1.

Write the equation of the line in

point-slope form:

given  (1, 0) and the slope of 2.

Write the equation of the line in

point-slope form:

given  (0, 5) and the slope of 3.

State the slope of the line.

Given the slope of 1/4 and the graph,

What is the equation of the line?

y=1/4x + 1

y - 2 = 1/4(x - 1)

y - 1 = 4(x - 2)

y - 1 = 1/4(x - 2) 

Rewrite in slope intercept form:

 

y - 3 = 2(x - 5)

Rewrite into slope intercept form:

 

y - 2 = 4(x + 3)
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