The slope of a line is -, and the y-intercept is 10/3. What is the equation of the line written in general form?

1 answer:

4 0

I think it should be y=-x+10/3
As slope is y=mx+b so substitute your slope for the coefficient of x and then add your y intercept to the end.

You might be interested in

Let h(x)=(g o f)(x)=√x+3 <br> Which of the following could be a possible decomposition of h(x)?

hodyreva [135]

In this case, h(x) = sqrt(x) + 3

A. f(x)=x+3; g(x)=√x
B. f(x)=x; g(x)=x+3
C. f(x)=√x; g(x)=x+3
D. f(x)=3x; g(x)=√x

Again, you need to find a function f(x) that once evaluated in g(x) gives us h(x)

h(x) = g(f(x))

Looking at the options, the answer is C.

g(f(x)) = f(x) + 3 = sqrt (x) + 3 = h(x)

8 0

4 years ago

Read 2 more answers

What is the equation of the line that passes through the point (4, 3) and is perpendicular to the line x + y = 4?

zimovet [89]

ANSWER

$y - x = - 1$

EXPLANATION

The required equation passes through:

(4,3) and is perpendicular to x+y=4.

Rewrite the given equation in slope-intercept form:

$y = - x + 4$

The slope of this line is -1.

The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.

$m= - \frac{1}{ - 1} = 1$

The equation of the line can be found using:

$y - y_1 = m(x - x_1)$

We substitute the slope and point to obtain:

$y - 3 = 1(x - 4)$

We simplify to get:

$y - 3 = x - 4$

$y - x = - 4 + 3$

The required equation is

$y - x = - 1$

5 0

3 years ago

Find the area of a rectangle with a perimeter of 12 meters and a base of 4 meters

stepladder [879]

Considering the perimeter (P)
$p = 2 \times b + 2 \times h$
where b is the base and h is the height, then
$12 = 2 \times 4 \times 2 \times h \\ \\ h = \frac{12 - (2 \times 4)}{2} \\ \\ h = 2$
Being the area (A)
$a = b \times h \\ \\ a = 4 \times 2 \\ \\ a = 8 {m}^{2}$

7 0

3 years ago

(3,4) and (-5,6) <br><img src="https://tex.z-dn.net/?f=%283%2C4%29%20and%20%28-5%2C6%29%20" id="TexFormula1" title="(3,4) and (-

IceJOKER [234]

(3,4) and (-5,6) are "coordinate planes".

These appear in algebra and math when you're graphing. These coordinate planes consist of "x" and "y" (x,y). The x's (which are 3 and -5 in your situation) should be graphed accordingly using the x-axis and the y's (which are 4 and 6 in your situation) should be graph accordingly using the y-axis.

3 0

3 years ago

Two-Thirds a number plus 4 is 7

alexira [117]

Yes that is correct

7 0

3 years ago

Read 2 more answers