Topics
- 3 x – 4 y = 8. 3x−4y=8. Add 4y to both sides. Add 4y to both sides.
- 3x=8+4y. 3x=8+4y. The equation is in standard form. The equation is in standard form.
- 3x=4y+8. 3x=4y+8. Divide both sides by 3. Divide both sides by 3.
- frac{3x}{3}=frac{4y+8}{3} 33x=34y+8 Dividing by 3 undoes the multiplication by 3.
Hereof, What does it mean when x varies inversely with Y? The phrase “ y varies inversely as x” or “ y is inversely proportional to x” means that as x gets bigger, y gets smaller, or vice versa. This concept is translated in two ways. yx = k for some constant k, called the constant of proportionality.
What is the slope for 3x 4y 8? Reorder −2 – 2 and 3×4 3 x 4 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 34 .
Additionally What is the slope of the line represented by the equation 3x 4y 8? Slope is -3.
How do you graph 4y?
How do you find inversely proportional?
General Formula of Inversely Proportional
It is written mathematically as y ∝ 1/x. The general equation for inverse variation is y = k/x, where k is the constant of proportionality. We can also write this as y × x = k, or y × x = Constant.
What does varies inversely mean? The statement “y varies inversely as x means that when x increases, ydecreases by the same factor. In other words, the expression xy is constant: xy = k.
How do you write an equation that varies inversely?
What is the slope for 3x 4y?
Using the slope-intercept form, the slope is 34 .
Also At what point on the y-axis does the graph of the equation 3x 4y 8? It cuts the Y-axis at the point (0,-2).
What is the slope of the line whose mathematical statement is 3x 4y 5?
The slope is the value multiplying the x , so the slope is −34 . So the y -intercept is at (0,54) . Hope this helps!
What is the y-intercept of 3x 4y 8? Using the slope-intercept form, the y-intercept is −2 .
How do you find slope given an equation?
What is the general form of equation 3x 4y 12?
General form is 3x – 4y + 12 = 0
ax + by + c = 0, where a, b, c are constants. This is the required general form.
What is the slope for 3x 4y 12? The slope of the line 3x + 4y = 12 is -3/4.
Is the equation y 4 a function? The answer would be yes since it passes the vertical line test. The vertical line test tells us if we draw a vertical line through any point of the graph and it goes through only one point at each line, then it is a function. If it passes through more than one point, it does not. The slope of a horizontal line is zero.
What is inversely and directly proportional?
What is the meaning of inversely and directly proportional? If two variables x, y are inversely proportional, then x ∝ 1/y, that means xy = k (some constant), and if they are directly proportional, then x ∝ y that means x/y = k.
What is an inversely? 1 : in an inverse order or manner. 2 : in the manner of inverse variation varies inversely.
How do you solve direct proportions?
Is inverse variation multiplication or division? When quantities vary inversely, one quantity increases while the other one decreases. The values change in opposite directions in an inverse variation, but multiply to a constant, k.
How do you solve inverse?
What is the constant of variation K? Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.