SOLUTION: what is the slope of the line y=3/4x-1? What is y-intercept of the line 2x+3y=6?

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Question 202410This question is from textbook Geometry
: what is the slope of the line y=3/4x-1?
What is y-intercept of the line 2x+3y=6? This question is from textbook Geometry

Found 2 solutions by solver91311, Earlsdon:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Your first question deals with an equation that is already in slope-intercept form, namely . The slope is the coefficient on

For your second problem, you need to solve for . That is to say you need to put it into the slope intercept form . Add to both sides, then multiply both sides by the reciprocal of the coefficient on . The resulting constant term on the right-hand side will be your -intercept.

John

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can answer these questions yourself by recalling that the "slope-intercept" form of a linear equation is:
y+=+mx%2Bb Where: m = slope and b = y-intercept.
Compare your equations with the standard form: For the first equation:
y+=+mx%2Bb
y+=+%283%2F4%29x-1
For the second equation, you will have to rearrange it to be in the slope-intercept form:
3x%2B3y+=+6 Subtract 3x from both sides of the equation.
3y+=+-3x%2B6 Now divide both sides by 3.
y+=+%28-1%29x%2B2 Compare with:
y+=+mx%2Bb
If you still have difficulties with this, please re-post.