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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
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 =
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.
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 =