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2 years ago

Find the slope and y intercept (Please show work)

Mathematics

1 answer:

zepelin [54]2 years ago

4 0

Answer:

slope = - 6, y- intercept = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

0 = 2x - $\frac{5}{3}$ + $\frac{1}{3}$ y ( multiply through by 3 to clear the fractions )

0 = 6x - 5 + y ( subtract 6x - 5 from both sides )

- 6x + 5 = y , that is

y = - 6x + 5 ← in slope- intercept form

with slope m = - 6 and y- intercept c = 5

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Write the equation of the

Jet001 [13]

Answer:

$y = \frac{1}{5} x+3$

Step-by-step explanation:

From the given information, we already know two points the line intersects. It states that the line has a y-intercept of 3. The y-intercept is the point at which the line intersects the y-axis. Thus, the line also intersects (0,3). (Remember that all points on the y-axis have an x-value of 0.) Now we have enough information to write an equation.

1) Find the slope of the line with the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of (-5,2) and (0,3) into the formula and solve:

$m = \frac{(3)-(2)}{(0)-(-5)} \\m = \frac{3-2}{0+5}\\m = \frac{1}{5}$

So, the slope of the line is $\frac{1}{5}$ .

2) Now we can write the equation in slope-intercept form, represented by the formula $y = mx + b$ . Substitute values for $m$ and $b$ in the formula.

The $m$ represents the slope, so substitute $\frac{1}{5}$ for it. The $b$ represents the y-intercept, so substitute $3\\$ for it. This gives the following answer and equation in slope-intercept form:

$y = \frac{1}{5} x+3$

8 0

2 years ago

Surface area & volume<br><br>Need some help please

seraphim [82]

I know that v = l x w x h
(volume = length x width x height)

7 0

3 years ago

PLEASE FAST. Will give brainliest. Select the correct answer.

egoroff_w [7]

Answer:

150

Step-by-step explanation:

180-70= 110

40+110 (is a formula) that equals x

= 150

4 0

3 years ago

A driver has three ways to get from one city to another. There is an 80 % chance of encountering atraffic jam given he is on rou

lukranit [14]

Answer:

The probability is 0.64

Step-by-step explanation:

What we want to calculate here is conditional probability.

Let P(A )= Probability of using route A = 50% = 0.5

Let P( B )= probability of using route B = 25% = 0.25

Let P (C )= probability of using route C = 25% = 0.25

Let T be the probability that he will be in a traffic Jam

The probability that he will be in a traffic Jam if he uses route A = 80%

Mathematically this is written as P( T | A) which is read as probability of T given A

so P( T | A) = 0.8

Same way for B and C which can be written as follows;

P( T | B) = 60% = 0.6

P( T | C) = 30% = 0.3

Now, what do we want to calculate?

He is in a traffic Jam, and we want to find the probability that he used route A. This means we want to find P(A) given T which can be written mathematically as P ( A | T)

We can find this using the other parameters and especially the equation below;

P ( A | T) = P(A) • P( T| A) / {P(A) • P ( T | A) + P(B)• P(T| B) + P(C) • P(T|C)

P( A | T) = (0.5 * 0.8)/ ( 0.5)(0.8) + (0.25)(0.6) + (0.25)(3) = 0.4/(0.4 + 0.75 + 0.075) = 0.4/0.625 = 0.64

4 0

2 years ago

-5x - 35= -15<br> -5x = 25<br> X =

Zigmanuir [339]

X= -5 because you divide -5x by -5 to get x alone so you have to 25/-5 which is -5

3 0

3 years ago