Write an equation of the line shown in each graph. 3. 4. 10,2) 0-2) Graph each equation. 5. y = -x+2 6. 6x + 3y = 6

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.2: Linear Equations In One Variable
Problem 83E
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PLEASE DO 4-6 IN A TYPING FORMAT. give steps and explanation.
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
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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