Section 2-4: Writing Linear Equations

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# Section 2-4: Writing Linear Equations - PowerPoint PPT Presentation

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
• 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]
• Remember, MOST of the time we will still have ______ in the final equation.
• m is the _______
• b is the __________

x

y

Write the equation of the line.
• First (and easiest) b = ?
• b =
• m = ?
• m =
• y =
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.
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.
• To write the equation of a line, we need two pieces of information: ___________ ________________
• You should be able to get these from _________.
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.
• 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.
• y - 2 = 1(x - 3)
• Simplify.
• ______________
• add two to both sides
• __________
• m =
• plug either point.
• y - 3 =
• y =
• y =
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 =