Download Objective - To write equations given the slope and a point

Objective - To write equations given the
slope and a point using Point-Slope Form.
Point-Slope Form
y  y1  m(x  x1 )
Write the equation of a line in point-slope form
that passes through (2,5) with a slope of -3.
(x1 , y1 )
y  y1  m(x  x1 )
y  5  3 (x  2 )
m
Write the equation in slope-intercept form that
passes through (-2,6) with slope of 3.
(x1 , y1 )
y  y1  m(x  x1 )
y  6  3 (x  2)
y  6  3(x  2)
y  6  3x  6
6
6
y  3x  12
m
Forms of the Linear Equation
Standard Form
Slope-Intercept Form
Ax  By  C
y  mx  b
Point-Slope Form
y  y1  m(x  x1 )
Write the equation in slope-intercept form that
3
passes through (5,-1) with slope of .
5
(x1 , y1 )
y  y1  m(x  x1 )
m
3
y  1  ( x  5 )
5
3
y  1  (x  5)
5
3
y 1  x  3
5
1
1
3
y  x4
5
Write the equation of the line below in
slope-intercept form.
y  y1  m(x  x1 )
y
2
y  3   (x  2)
3
-2
2
+3
y  3   (x  2)
x
3
2
4
y3   x 
3
3
3
3
2
(-2, 3) m  
2
5
3
y x
3
3
Write the equation of the line in slope-intercept form
that is parallel to y = -2x - 9 and contains (4, -3).
m  2
y  y1  m(x  x1 )
y  3  2(x  4 )
y  3  2(x  4)
y  3  2x  8
3
3
y  2x  5
(x1 , y1 )