Section 2 4 writing linear equations
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Section 2-4: Writing Linear Equations. We have already seen standard form of an equation, but this form isn’t very useful. We are going to use slope-int. and point-slope form to write equations. Slope-Intercept Form. y = ______ [ ____ = mx + b]

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Section 2-4: Writing Linear Equations

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Section 2 4 writing linear equations

Section 2-4: Writing Linear Equations

  • We have already seen standard form of an equation, but this form isn’t very useful.

  • We are going to use slope-int. and point-slope form to write equations.


Slope intercept form

Slope-Intercept Form

  • y = ______ [ ____ = mx + b]

  • Remember, MOST of the time we will still have ______ in the final equation.

  • m is the _______

  • b is the __________


Write the equation of the line

x

y

Write the equation of the line.

  • First (and easiest) b = ?

  • b =

  • m = ?

  • m =

  • y =


Write the equation of the line1

x

y

Write the equation of the line.

  • b = ?

  • b =

  • m = ?

  • m =

  • y =


Write the equation of the line2

x

y

Write the equation of the line.

  • b = ?

  • b =

  • m = ?

  • m =

  • y =


Give the slope and y int of each equation

y = -4x + 3

m =

b =

y = 5 - 1/2x

m =

b =

8x + y = 3/4

m =

b =

4x - 2y = 10

m =

b =

Give the slope and y-int. of each equation.


Give the slope and y intercept of each line

y = -1/3x

m =

b =

y = 5

m =

b =

Give the slope and y-intercept of each line.


Given the slope and y int write the equation of the line

m = -3, b = 1

m = -2/5, b = -4

m = 0, b = 10

m = 1, b = 0

m = 0, b = 0

Given the slope and y-int., write the equation of the line.


Given the graph write the equation of the line

Given the graph, write the equation of the line.

  • To write the equation of a line, we need two pieces of information: ___________ ________________

  • You should be able to get these from _________.


Point slope form

Point-Slope Form

  • Use this form if you are given _________, or a __________. (as long as the pt. isn’t b)

  • ____________________

  • (x1, y1) is one of the given points.

  • Use the points to calculate m.


Give the equation of the line

Give the equation of the line.

  • the line goes through (3, 2) & (5, 4).

  • m =

  • choose either point, we’ll use (3, 2). Plug in 3 for ___ & 2 for ____.

  • ____________


Write the equation

Write the equation.

  • y - 2 = 1(x - 3)

  • Simplify.

  • ______________

  • add two to both sides

  • __________


Give the equation of the line through the points 4 3 and 7 2

Give the equation of the line through the points (4, 3) and (7, -2)

  • m =

  • plug either point.

  • y - 3 =

  • y =

  • y =


Give the equation of the line with x int 3 and y int 2

Give the equation of the line with x-int. 3 and y-int 2.

  • Because we know the y-int. (b), we only need the slope.

  • m =

  • y =


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