SOLUTION: Graph the line with slope -2/3 passong through the point (-5,5). I cannot do this problem. I have tried and when it comes to math I can't add 3 + 3. The negatives are the worst al

Algebra ->  Algebra  -> Coordinate-system -> SOLUTION: Graph the line with slope -2/3 passong through the point (-5,5). I cannot do this problem. I have tried and when it comes to math I can't add 3 + 3. The negatives are the worst al      Log On

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Question 173829: Graph the line with slope -2/3 passong through the point (-5,5). I cannot do this problem. I have tried and when it comes to math I can't add 3 + 3. The negatives are the worst along with fractions. I just don't understand it.Can anybody figure this out and show me how? Ty in advance. Judy
Found 2 solutions by jojo14344, KnightOwlTutor:
Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the line with slope -2/3 passong through the point (-5,5).
.

Okay, good you have the slope=m=-2%2F3
Thru point (-5,5), via Slope-Intercept form, y=mx%2Bb, solving for y-inyercept b:
5=%28-2%2F3%29%28-5%29%2Bb
5=10%2F3%2Bb---->b=5-%2810%2F3%29=%2815-10%29%2F3=5%2F3, Y-intercept
Then, it follows our eqn-----> y=%28-2%2F3%29x%2B%285%2F3%29
As we see in the graph:
drawing%28300%2C300%2C-8%2C5%2C-5%2C8%2Cgrid%281%29%2Cgraph%28300%2C300%2C-8%2C5%2C-5%2C8%2C%28-2%2F3%29x%2B%285%2F3%29%29%2Cblue%28circle%28-5%2C5%2C.20%29%29%29
Thank you,
Jojo

Answer by KnightOwlTutor(293) About Me  (Show Source):
You can put this solution on YOUR website!
The general equation for a line is y=mx+c
m= slope
Replace m with -2/3 y=-2/3x +c

Plug in the value for the point
5=-2/3(-5) +c
We are trying to find the y intercept c


5=10/3+c
Subract 10/3 to both sides
15/3 -10/3= c
5/3= c
Let's double check that this is the correct linear equation

5=10/3 +5/3
Therefore the eqation is y=-2/3x+5/3
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 2+x+%2B+3+y+=+5 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-2%2F3.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 5/2 = 2.5.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 5/3 = 1.66666666666667.
  • Slope is -2/3 = -0.666666666666667.
  • Equation in slope-intercept form: y=-0.666666666666667*x+1.66666666666667.
graph%28+500%2C+500%2C+2.5-8%2C+2.5%2B8%2C+1.66666666666667-8%2C+1.66666666666667%2B8%2C+-0.666666666666667%2Ax%2B1.66666666666667+%29+