SOLUTION: This would be so great if you were able to help me on my homework, I have a ton of questions i need help with but i know the limit is 4 so I'll pick the 4 hardest. Thank you in adv

Algebra ->  Linear-equations -> SOLUTION: This would be so great if you were able to help me on my homework, I have a ton of questions i need help with but i know the limit is 4 so I'll pick the 4 hardest. Thank you in adv      Log On


   

Question 67124: This would be so great if you were able to help me on my homework, I have a ton of questions i need help with but i know the limit is 4 so I'll pick the 4 hardest. Thank you in advance!
1.Write the following equation in slope-intercept form: 5x+2=3y
2.Find the slope of the equation: 5x+6y=30
3.Find the slope bewtween the points: (2,-5) and (-3,-7)
4.Find the slope of the line y = -6x - 3
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
1. Write in slope-intercept form: 5x+2 = 3y
The slope-intercept form of a linear equations is:
y = mx + b where m is the slope and b is the y-intercept. So, starting with your equation:
5x%2B2+=+3y Simply divide both sides by 3.
%285%2F3%29x+%2B+2%2F3+=+y or y+=+%285%2F3%29x+%2B+2%2F3 Here, m = 5/3 and b = 2/3
2. Find the slope of 5x+6y = 30 First get this into the slope-intercept form: y = mx+b
5x%2B6y+=+30 Subtract 5x from both sides.
6y+=+-5x%2B30 Now divide both sides by 6.
y+=+-%285%2F6%29x+%2B+5 Compare this with:
y+=+mx+%2B+b You can see that slope, m = -5/6
3. Find the slope between the points (2, -5) and (-3, -7)
You can use the formula for slope: m+=+%28y2-y1%29%2F%28x2-x1%29 where: (2, -5) = (x1, y1) and (-3, -7) = (x2, y2)
m+=+%28-7-%28-5%29%29%2F%28-3-2%29 Simplify.
m++=+%28-7%2B5%29%2F%28-5%29
m+=+%28-2%29%2F-5
m+=+2%2F5 This is the slope!
4. Find the slope of the line: y = -6x-3 The equation is already in the slope-intercept form: y = mx+b so you can just read off the slope which is the m.
m = -6 This is the slope!