What is the slope of the line 3x 9y 4

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

YES! We solved the question!

Check the full answer on App Gauthmath

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)

Does the answer help you? Rate for it!

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  = -0.44444 

Calculate 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  =  1.33333 

Calculate 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 =  0.333 

Geometric figure: Straight Line

1.   Slope = 0.667/2.000 = 0.333
2.   x-intercept = 4/3 = 1.33333
3.   y-intercept = 4/-9 = -0.44444