Rewrite in slope-intercept form.
The slope-intercept form is , where is the slope and is the y-intercept.
Subtract from both sides of the equation.
Divide each term by and simplify.
Cancel the common factor of .
Cancel the common factor.
Move the negative in front of the fraction.
Cancel the common factor of and .
Cancel the common factors.
Cancel the common factor.
Rewrite in slope-intercept form.
Using the slope-intercept form, the slope is .
All lines that are parallel to have the same slope of .
Do you need help with solving Find the Slope of a Parallel Line 3x-9y=4? We can help you. You can write to our math experts in our application. The best solution for you is above on this page.
3x-4=9y
Add 9y to both sides. Anything plus zero gives itself.
3x=9y+4
Add 4 to both sides.
\frac{3x}{3}=\frac{9y+4}{3}
Divide both sides by 3.
x=\frac{9y+4}{3}
Dividing by 3 undoes the multiplication by 3.
x=3y+\frac{4}{3}
Divide 9y+4 by 3.
-9y-4=-3x
Subtract 3x from both sides. Anything subtracted from zero gives its negation.
-9y=-3x+4
Add 4 to both sides.
-9y=4-3x
The equation is in standard form.
\frac{-9y}{-9}=\frac{4-3x}{-9}
Divide both sides by -9.
y=\frac{4-3x}{-9}
Dividing by -9 undoes the multiplication by -9.
y=\frac{x}{3}-\frac{4}{9}
Divide -3x+4 by -9.
Question
Gauthmathier6534
Grade 12 · 2021-10-09
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What is the slope of the line
What is the slope of the line 3x-9y=4 ? -3 - 1/3 1 - Gauthmath ?
-3
-\frac {1}{3}
\frac {1}{3}
3
Gauthmathier8661
Grade 12 · 2021-10-09
Answer
Write properties of function:
slope:
\dfrac{1}{3}
Explanation
Write properties of function: Write properties of function:
slope:
\dfrac{1}{3}
Answer: Write properties of function:
slope:
\dfrac{1}{3}
Thanks (129)
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Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x-9*y-(4)=0
Step 1 :
Equation of a Straight Line
1.1 Solve 3x-9y-4 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line
is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-9y-4 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 4/-9 so this line "cuts" the y axis at y=-0.44444
y-intercept = 4/-9 = -0.44444Calculate the X-Intercept :
When y = 0 the value of x is 4/3 Our line therefore "cuts" the x axis at x= 1.33333
x-intercept = 4/3 = 1.33333Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -0.444 and for x=2.000, the value of y is 0.222. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.222 - (-0.444) = 0.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.667/2.000 = 0.333Geometric figure: Straight Line
- Slope = 0.667/2.000 = 0.333
- x-intercept = 4/3 = 1.33333
- y-intercept = 4/-9 = -0.44444