SOLUTION: What is the slope of each line that has the description given: y = 3/4x + 7 2x + 4y = 8 5.1476x + 5.1476 = 15 y - 3 = 7/13 (x-4) y - 7.3591 = 7/13 (x-4.0856)

Algebra ->  Linear-equations -> SOLUTION: What is the slope of each line that has the description given: y = 3/4x + 7 2x + 4y = 8 5.1476x + 5.1476 = 15 y - 3 = 7/13 (x-4) y - 7.3591 = 7/13 (x-4.0856)      Log On


   

Question 568796: What is the slope of each line that has the description given:
y = 3/4x + 7
2x + 4y = 8
5.1476x + 5.1476 = 15
y - 3 = 7/13 (x-4)
y - 7.3591 = 7/13 (x-4.0856)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
y+=%283%2F4%29x+%2B+7 is the equation of a line in slope-intercept form
That form starts with "y=", has the y-intercept for a constant/independent term, and has the slope for coefficient of the x. The slope is 3%2F4 in this case.
2x+%2B+4y+=+8
Solving for y, we get the slope intercept form
2x+%2B+4y+=+8 --> 2x+%2B+4y+-2x+=+8-2x --> 4y=-2x%2B8 --> 4y%2F4=%28-2x%2B8%29%2F4 --> y=-2x%2F4%2B8%2F4 --> y=-%281%2F2%29x%2B2
The slope is -1%2F2
5.1476x+%2B+5.1476+=+15 I suspect a typo, but if it was really written like that, it is really
5.1476x+%2B+5.1476+=+15 --> 5.1476x+=+15-5.1476+ --> 5.1476x=9.8524+ --> x=9.8524%2F5.1476
Without doing that division we see that x is constant, while y could be anything. There is no slope. The slope is undefined, and the line is a vertical line.
y+-+3+=+%287%2F13%29%28x-4%29 is the equation in point-slope form of the line with slope 7%2F13 that passes through the point (4,3).
y+-+7.3591+=+%287%2F13%29%28x-4.0856%29 is the equation in point-slope form of the line with slope 7%2F13 that passes through the point (4.0856,7.3591).