Slope-Intercept Formy-mx + b, where m is the given slope and b is the y-intorcept Example 1 Write an equation of the line whose slope is -4 and whose y-intercept is 3. y - mx + b y = -4x + 3 Replace m with -4 and D with a. Siopentercept fom Example 2 Graph 3r – 4y = 8. 3r - 4y = 8 -4y - -3r + 8 -3x + 8 orginal equation suetract ar trom each se. -4y -4 DIMde each sde by 4 y -*- 2 Simpity The y-intercopt of y = - 2 is –2 and the slope is 7. So graph the point (0, –2). From this point, move up 3 units and right 4 units. Draw a line passing through both points. Practice: Write an equation of the line with the given slop and y-intercept. 1. slope: y-intercept: 3 2. slope: -2.5, y-intercept: 3.5 Write an equation of the line shown in each graph. 3. 4.
Slope-Intercept Formy-mx + b, where m is the given slope and b is the y-intorcept Example 1 Write an equation of the line whose slope is -4 and whose y-intercept is 3. y - mx + b y = -4x + 3 Replace m with -4 and D with a. Siopentercept fom Example 2 Graph 3r – 4y = 8. 3r - 4y = 8 -4y - -3r + 8 -3x + 8 orginal equation suetract ar trom each se. -4y -4 DIMde each sde by 4 y -*- 2 Simpity The y-intercopt of y = - 2 is –2 and the slope is 7. So graph the point (0, –2). From this point, move up 3 units and right 4 units. Draw a line passing through both points. Practice: Write an equation of the line with the given slop and y-intercept. 1. slope: y-intercept: 3 2. slope: -2.5, y-intercept: 3.5 Write an equation of the line shown in each graph. 3. 4.
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.2: Linear Equations In One Variable
Problem 83E
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Hi, please type to answer this question, do questions 4-6 and explain the steps.
Transcribed Image Text:XV. Linear Equations in Slope-Intercept Form
Slope-Intercept Form
Slope-Intercept Formy- mx + b, whore m is the given slope and b is the y-intercept
Example 1 Write an equation of the line whose slope is –4 and whose
y-intercept is 3.
y - mx + b
y = -4x + 3 Repiace m with -4 and b with a.
Siope-ntercept tom
Example 2 Graph 3r – 4y = 8.
3r - 4y = 8
original equation
-4y - -3x + 8
-&r + 8
suotract artrom each side.
DMde each side by -4
y --2
Simpity
The y-intercept of y =i- 2 is –2 and the slope is 7. So graph the point (0, -2). From
this point, move up 3 units and right 4 units. Draw a line passing through both points.
Practice:
Write an equation of the line with the given slop and y-intercept.
1. slope: y-intercept: 3
2. slope: -2.5, y-intercept: 3.5
Write an equation of the line shown in each graph.
3.
4.
10, 2)
5.0)
Graph each equation.
5. y = -x + 2
6. 6х + 3у %3D6
to
to
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