How do I find the slope and y-intercept of each equation?

1. \(Y = 2x + 1\)

2. \(Y = \frac{1}{3}x - 3\)

3. \(Y = -2x + 1\)

4. \(-2x + 5y = 10\)

5. \(4x - 2y - 5 = 0\)

6. \(Y = -4x - 3\)

7. \(3x - 5y = 20\)

1. t h e s l o p e in t erce pt f or m i s : y = m x + b y = 2 x + 1 t h e s l o p e ( t h e m u lt i pl i er o f x re p rese n t e d b y m ) i s 2 an d t h e y − in t erce pt ( t h eco n s t an t re p rese n t e d b y b ) i s 1
2. y = 3 1 ​ x − 3 t h e s l o p e m = 3 1 ​ an d y = − 3
3. y = − 2 x + 1 t h e s l o p e m = − 2 an d y = 1
4. − 2 x + 5 y = 10 5 y = 2 x + 10 / : 5 y = 5 2 ​ x + 2 t h e s l o p e m = 5 2 ​ an d y = 2
5. 4 x − 2 y − 5 = 0 − 2 y = − 4 x + 5 / : ( − 2 ) y = 2 x − 2 5 ​ t h e s l o p e m = 2 an d y = − 2 5 ​
6. y = − 4 x − 3 t h e s l o p e m = − 4 an d y = − 3
7. 3 x − 5 y = 20 − 5 y = − 3 x + 20 / : ( − 5 ) y = 5 3 ​ x − 4 t h e s l o p e m = 5 3 ​ an d y = − 4

Answered by Lilith | 2024-06-10

To find the slope and y-intercept of various linear equations, we can rearrange them into the form y = m x + b where m is the slope and b is the y-intercept. Each equation has been analyzed to reveal these key values. Understanding this relationship is crucial when working with linear equations in mathematics.
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Answered by Lilith | 2024-10-31