All categories

3 years ago

What is the equation of the line in the slope intercept form

Mathematics

2 answers:

Grace [21]3 years ago

7 0

Answer:

Equation of line; y = - 6x

Step-by-step explanation:

As we can see from this graph, point ( 0, 0 ) lying on this graph intersects the y - axis such that it forms a y - intercept of 0;

At the same time we can note that the change in y / change in x, in other words the slope, differs by a rise of 6 / run of - 1, 6 / - 1 being a slope of - 6;

If this equation is in slope - intercept form ⇒

y = a * x + b, where a ⇒ slope, and b ⇒ y - intercept,

Equation of line; y = - 6x

sergejj [24]3 years ago

3 0

Answer:

y = -6x

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

the y intercept is 0 since it crosses the y axis at 0

To find the slope we need to points (0,0) and (10,-60)

m = (y2-y1)/(x2-x1)

= (-60-0)/(10-0)

= -60/10

= -6

The equation for the line is

y = -6x +0

y = -6x

You might be interested in

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat

madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

The test statistics is $t = - 1.761$

The p-value is $p = P(Z < t ) = 0.039119$

$p \ge 0.01$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 122$

The sample size is n= 38

The sample mean is $\= x = 116 \ feet$

The standard deviation is $\sigma = 21$

Generally the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

Generally the test statistics is mathematically evaluated as

$t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }$

substituting values

$t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }$

$t = - 1.761$

The p-value is mathematically represented as

$p = P(Z < t )$

From the z- table

$p = P(Z < t ) = 0.039119$

$p \ge 0.01$

4 0

3 years ago

Find the area of the triangle ? Square units

allochka39001 [22]

Answer:

Step-by-step explanation:

9(0.5)(12)

8 0

3 years ago

Read 2 more answers

Original price: $70; Markup: 15%. What is theretail price?

ziro4ka [17]

Answer:

80.50

Step-by-step explanation:

profit=$10.50

i would like a brailiest if you dont mind

5 0

3 years ago

Read 2 more answers

Solve the inequality for x -2<5x+3

ikadub [295]

4/5x + 5 < -3 (multiply the inequality by 5 to get rid of fraction)
4x + 25 < -15 (subtract 25 from both sides)
4x < -15 - 25
4x < -40
x < -10

or

4/5x + 5 < -3 (subtract 5 from both sides)
4/5x < -3-5
4/5x < -8
x < -8/(4/5)
x < -8 * 5/4
x < - 40/4
x < -10

6 0

3 years ago

Ms. Smith purchased ½ of a pound of grapes. She would like to make 112pound portions for this week’s snacks. How many portions w

Elodia [21]

Step-by-step explanation:

There is no enough information to determine how many portions she will be able to make.

We need to know how many pounds of grapes will she needs to make a particular pounds portions for the snacks.

For example, if she needs 2 pounds of grapes to make 5 pounds portion for the snacks, and she purchase ½ pounds of grapes, we can determine how many pounds of portions for the snacks she will be able to make with this information.

Using a simple ratio

2:5 = ½:x

2/5 = ½/x

Multiplying both sides by x

(2/5)x = 1/2

Multiplying both sides by 5/2

x = (1/2)×(5/2)

x = 5/4

x = 1¼ pounds

Meaning she will be able to make 1¼ pounds of portion for snacks with ½ pounds of grapes.

7 0

3 years ago