Transcript Converting-Standard-Form-to-Slope-Intercept

Converting between
Standard form
and
Slope-Intercept form
Graphing Unit
Slope-Intercept Formula
y  mx  b
• This formula will be used to
write
graph
___________and
_____________
linear equations.
Converting from
Standard Form to
Slope-Intercept Form
Goal: Isolate the variable ‘y’.
Converting from
Standard Form to
Slope-Intercept Form
• Use the inverse operation of the
term that is on the same side of the
equation with the variable ‘y’.
• Divide by the coefficient (number in
front) of y.
Example 1 & 2 Write in
slope-intercept form Youittry
2 x  3 y  6
2x
2x
3y  2x 6
3 3 3
2
y  x 2
3
6 x  9 y  3
6x
6x
9 y  6x 3
9 9
9
2 1
y  x
3
3
Practice Problems
1. 3x + 3y = 9
2. -4x – 2y = -2
3. 7y + 5x = -15
Now let’s use the formula
to WRITE an equation.
y  mx  b
Write an equation in slope-intercept form when given the
slope and the y-intercept.
m = 3, b = 1
1
y  __
3 x  __
y  3x  1
Simply replace the “m” and the “b”
in the formula with the numbers
and you have an equation.
Write an equation in slope-intercept form when given the
slope and the y-intercept.
Writing Slope-Intercept Equations - Examples
m = -3, b = 5
m=½,b=1
y  3 x  5
1
y  x 1
2
m = 0, b = 7
m = 4, b = -2
y  0x  7
y7
y  4x  2