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The World Of Linear Equations. Writing Linear Equations In Slope-Intercept Form y = mx + b. If you are given: The slope and y-intercept.

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The World Of Linear Equations


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the world of linear equations

The World Of Linear Equations

Writing Linear Equations

In Slope-Intercept Form

y = mx + b

if you are given the slope and y intercept
If you are given: The slope and y-intercept
  • Finding the equation of the line in y= mx + b form. Given: slope and y-intercept.Just substitute the “m” with the slope value and the “b” with the y-intercept value.
  • Slope = ½ and
  • y-intercept = -3

y= mx + b

½

-3

y= ½x – 3

if you are given a graph
If you are given: A Graph

Find the:

  • y – intercept = b = the point where the line crosses the y axis.
  • Slope = = m =
  • y – intercept = b = -3
  • Slope = = m = ½

y= mx + b

-3

½

y= ½x – 3

if you are given the slope and a point
If you are given: The slope and a point

½

4

-1

  • Given: slope (m) and a point (x,y). To write equations given the slope and a point using Point-Slope Form.
  • Slope =½ and point (4,-1)

Point-Slope Form

-1 -1

y= ½x – 3

if you are given the slope and a point5
If you are given: The slope and a point

½

4

-1

  • Given: slope (m) and a point (x,y). Substitute x, y, and m into y = mx+b and find the value of b (the y-intercept). Then write the equationsubstituting m and b values into y = mx + b.
  • Slope =½ and point (4,-1)

y=mx+ b

-1=½(4)+ b

-1 =2+ b

-2 -2

-3 = b So!

m = ½ and b = -3

y= ½x – 3

if you are given two points
If you are given: Two points
  • Find the:
  • Slope = = m =
  • Finding the equation of the line in y= mx + b form. Given: Two points.First find the slope (m) and then substitute one of the points x and y values into y = mx+b along with the slope.

½

  • Slope =½ and point (2, -2)

y=mx+ b

2

-2

-2=½(2)+ b

-2 =1+ b

-1 -1

-3 = b So!

m = ½ and b = -3

Point (-2, -4) & Point (2, -2)

y= ½x – 3

if you are given two points7
If you are given: Two points
  • Find the:
  • Slope = = m =
  • Finding the equation of the line in y= mx + b form. Given: Two points.First find the slope (m) and then substitute one of the points x and y values into Point-Slope Form.
  • Slope =½ and point (2, -2)

½

2

-2

Point-Slope Form

Point (-2, -4) & Point (2, -2)

-2 -2

y= ½x – 3

slide8

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