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3 years ago

What is the slope of line 4x+6y=24

1 answer:

3 0

Y=mx+b
m is the slope
you need to get y on one side and all other numbers on the other
so here's the easiest way to do it:
just kinda take 4x (which is a positive number) and move it to the other side and change the sign. so then it turns into 6y=-4x+24 and then you divide both sides by 6 so then you get y=-4/6x+4 (4 over 6 like a fraction)
-4/6 is the slope

You might be interested in

Which of these conditions might be true if polygons ABCD and KLMN are similar?

White raven [17]

Answer:

Option A.

Step-by-step explanation:

Properties of the similarity of two polygons,

1). All angles of one polygon will be equal to the angles of the other polygon.

2). Their corresponding sides will be in the same ratio.

If the measures of corresponding angles of KLMN and ABCD are equal, but the lengths of the corresponding sides of ABCD are half those of KLMN,

Then the polygons ABCD and KLMN will be similar.

Option A will be the answer.

8 0

3 years ago

Of the following equations below, which equation represents a direct variation between x and y?

spin [16.1K]

Answer:

C. y +3 = x +3

Step-by-step explanation:

We need to find in below option x has direct variation with y.

We solve for each;

A. $2y = 3x-7$

From above equation we can state that 2 times y is equal to 7 less than 3 times of x.

Hence it doesn't represent direct variation.

B. $y-4 = x+6$

Solving above expression we get;

$y-4 = x+6\\y = x+6+4\\y=x+10$

From above equation we can state that y is equal to 10 more than x.

Hence it doesn't represent direct variation.

C. $y+3 = x+3$

Solving above expression we get;

$y+3 = x+3\\y = x+3-3\\y=x$

From above equation we can state that y is equal to x.

Hence it represent direct variation.

D. $4y+1 = 4x-1$

Solving above expression we get;

$4y+1 = 4x-1\\4y = 4x-1-1\\4y=4x-2$

From above equation we can state that 4 times y is equal to 2 less than 4 times of x.

Hence it doesn't represent direct variation.

Hence the Answer which represent direct variation of x and y is,

C. $y+3 = x+3$

7 0

3 years ago

What is the oblique asymptote of the function f(x) x^2+x-2/x+1

Mamont248 [21]

$f(x)=\displaystyle\frac{x^2+x-2}{x+1}=\frac{x(x+1)-2}{x+1}=x-\frac{2}{x+1}
$

$\displaystyle\lim_{x\to\infty}\left\{f(x)-x \right\}=\lim_{x\to\infty}\frac{2}{x+1}=\lim_{x\to\infty}\frac{\displaystyle\frac{2}{x}}{1+\displaystyle\frac{1}{x}}
=0$

Consequently, t<span>he limit of $f(x)$ as x approaches infinity is $x$ .

In other words, $f(x)$ approaches the line y=x,
</span><span>
so oblique asymptote is y=x.

I'm Japanese, if you find some mistakes in my English, please let me know.</span>