All categories

3 years ago

Give the slope and the y-intercept of the line y = x – 4.

Mathematics

1 answer:

Airida [17]3 years ago

5 0

Given:

The equation of a line is

$y=x-4$

To find:

The slope and y-intercept of the line.

Solution:

We have,

$y=x-4$ ...(i)

The slope intercept form of a line is

$y=mx+b$ ...(ii)

Where, m is the slope and b is the y-intercept.

On comparing (i) and (ii), we get

$m=1,b=-4$

Slope of the line = 1

y-intercept of the line = -4

The coordinate form of y-intercept is (0,b). So, the y-intercept of the given line is (0,-4).

Therefore, the slope of the line is 1 and the y-intercept is (0,-4).

You might be interested in

Consider the random variables X and Y with joint density function ???? f(x,y)= x+y, 0≤x≤1;0≤y≤1 0, elsewhere. (a) Find the margi

sp2606 [1]

a. The marginal densities

$f_X(x)=\displaystyle\int_0^1(x+y)\,\mathrm dy=x+\frac12$

and

$f_Y(y)=\displaystyle\int_0^1(x+y)\,\mathrm dx=y+\frac12$

b. This can be obtained by integrating the joint density over [0.25, 1] x [0.5, 1]:

$P(X>0.25,Y>0.5)=\displaystyle\int_{1/4}^1\int_{1/2}^1(x+y)\,\mathrm dx\,\mathrm dy=\frac{33}{64}$

7 0

3 years ago

53w+13<56w+16 I need help.

Alborosie

Answer:

w>(-1)

Step-by-step explanation:

Answer on a number line is open circle at -1 all the way to positive 8

7 0

3 years ago

While traveling at a constant speed in a car, the centrifugal acceleration passengers feel while the car is turning is inversely

kvv77 [185]

A = k/R where A = acceleration and R = radius of the turn and k is a constant to be found.

Substituting the given values:-

10 = k / 70

k = 10*70 = 700

So the equation of the motion is A = 700 / R

When the radius is 140 the acceleration is 700 / 140 = 5 ft/sec/sec ( answer)

4 0

3 years ago

How do you solve this??

DochEvi [55]

Answer:

Step-by-step explanation:

Hi Millie.

First we can realize that the number of cubes of each type does not matter, only the ratios between them. We see that if there are x yellow cubes, there are 3x blue cubes. And therefore, there are 5*3x green cubes, or 15x green cubes. This means that the cubes are in a 1:3:15 ratio, or that for every 1 yellow cube, there are 3 blue and 15 green cubes.

Now we can find the probability of picking a yellow cube. Since there are 18 non-yellow cubes for every yellow cube, this means that there is a 1/19 possibility of picking a yellow cube.

8 0

3 years ago

Graph this line using the slope and y-intercept: y=5x+2

notsponge [240]

Answer:

You can use Desmos, or any online graph-er to graph the line.

3 0

3 years ago

Read 2 more answers