SOLUTION: Hello, Finding the slope and Y-intercept for each line. 2y - 3x + 1 = 0 Thank you.

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Question 62211This question is from textbook Algebra for college students
: Hello,
Finding the slope and Y-intercept for each line.
2y - 3x + 1 = 0
Thank you. This question is from textbook Algebra for college students

Answer by 303795(602) About Me  (Show Source):
You can put this solution on YOUR website!
Basically try to rearrange the equation into the form y = mx + b (some people use the letter c rather than b to represent the number part). The m will be the slope and the b will be the y intercept.

2y - 3x + 1 = 0 Add 3x to each side
2y - 3x + 1 + 3x = 0 + 3x
2y + 1 = 3x Subtract 1 from each side of the equation
2y + 1 - 1 = 3x -1
2y = 3x - 1 Divide both sides of the equation by 2
2y+%2F+2+=+3x+%2F+2+-1+%2F+2
y = 1.5x - 0.5

The number in front of the x is the slope ie 1.5. This means that as you move to the right 1 unit on the graph the graph will move upwards 1.5 units. A negative slope means the graph is moving downwards.
The y intercept is the y value when x = 0. This will be -0.5 ie y intercept is at (0,-0.5)