SOLUTION: state the slope and y-intercept of the graph of each equation. 3. y=2/3x 6. 3x-24+6=0 weite an equation in slope-intercept form for the line that satisfies each set of conditi

Algebra ->  College  -> Linear Algebra -> SOLUTION: state the slope and y-intercept of the graph of each equation. 3. y=2/3x 6. 3x-24+6=0 weite an equation in slope-intercept form for the line that satisfies each set of conditi      Log On


   



Question 68693: state the slope and y-intercept of the graph of each equation.
3. y=2/3x
6. 3x-24+6=0
weite an equation in slope-intercept form for the line that satisfies each set of conditions.
12. slope 3, passes through (1,3)
15. slope 3, passes through (2,0)

Found 3 solutions by rmromero, checkley71, mara2008:
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
Here is the Slope - Intercept Form of the Equation that will help you find the slope and y-intercept of the equation.
y = mx + b, m = slope, b = y-intercept
3. y = 2/3x
y = 2/3x + 0 highlight+%28m=2%2F3%29 highlight+%28b+=+0%29

6. Is the equation encoded right 3x - 24 + 6 = 0?


Write an equation in slope-intercept form for the line that satisfies each set of conditions.

Slope - Intercept Form of the Equation
y = mx + b, m = slope, b = y-intercept


12. slope 3, passes through (1,3)
Substitute slope = 3, the points (1,3), x=1, y=3 to Slope - Intercept Form of the Equation to find y-intercept
y = mx + b
3 = 3(1) + b
3-3=b
0=b

Now, you have slope=3 and y-intercept=0
y=mx+b
y = 3x + 0 or y = 3x


15. slope 3, passes through (2,0)
Substitute slope = 3, the points (2,0), x=2, y=0 to Slope - Intercept Form of the Equation to find y-intercept
y = mx + b
0 = 3(2) + b
0 = 6 + 0
-6 = b

Now, you have slope=3 and y-intercept=-6
y = mx + b
y = 3x + (-6)
y = 3x - 6


Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
Y=2/3X HAS A SLOPE OF 2/3 & A Y INTERCEPT OF 0.
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+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+2x%2F3%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 2x/3).
3X-24+6=0
3X=18
X=18/3
X=6 THIS SLOPE IS UNDEFINED AND DESCRIBES A VERTICLE LINE THROUGH X=6
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a slope of 3 & passing through (1,3) is
y=3x+b
3=3*1+b
3=3+b
b=3-3
b=0 thus the equation is
y=3x
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a slope of 3 passing theough (2,0)is
0=3*2+b
b=-6 thus the equation of this line is
y=3x-6
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Answer by mara2008(1) About Me  (Show Source):
You can put this solution on YOUR website!
y-mx+b
y-2/3x=0