3 3/5 × 2 3/4 <br><br> Answer in mixed number

What equation in slope-intercept form represents the line that passes through the points

Mumz [18]

<h2>Answer: y = - x + 1 </h2>

<h3>Step-by-step explanation: </h3>

For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:

The question gives us two points, (-3, 4) and (2, -1), from which we can find the slope and later the equation of the line.

<u>Finding the Slope</u>

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)

= (4 - (- 1)) ÷ ((-3) - 2)

= - 1

<u>Finding the Equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

⇒ y - (-1) = - 1 (x - 2)

y + 1 = - (x - 2)

we could also transform this into the slope-intercept form ( y = mx + c) by making y the subject of the equation:

since y + 1 = - (x - 2)

∴ y = - x + 1

<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>

8 0

2 years ago

Jemina flips a disc of the type shown below: A disc with two layers is shown. The top layer is shaded in a darker shade of gray,

Yakvenalex [24]

The probability is just 1/2 that the disc will result with the white side landing up.

There are two sides to the disc. If they are equally likely to happen, then the chance of either side is 1/2. It does not matter which number the flip is.

6 0

3 years ago

Compare each whole number in the following pairs. Insert the symbol < or > to make the statement true. a. 15 _____ 8 b. 4

katrin2010 [14]

Insert the symbol < or > to make the statement true.
a) >
b) <
c) <
d) >

Replace each ? with the symbol = or ≠ to make the statement true.
a) ≠
b) =
c) =
d) ≠

3 0

3 years ago

A simple random sample of 25,000 individuals are surveyed in order to determine the prevalence of individuals that contracted th

Neko [114]

Answer:

The prevalence of flu for the past year, as indicated from the survey participants, was of 17%.

Step-by-step explanation:

Given the survey, the prevalence of the flu, as a percentage, is given by:

Number of individuals diagnosed with flu, multiplied by 100, and divided by the size of the sample.

In this question, we have that:

Sample of 25,000, and 4,250 of those had been diagnosed with the flu at some point in the past year. So, the prevalence of the flu is given by:

$\frac{4250*100}{25000} = 17$

The prevalence of flu for the past year, as indicated from the survey participants, was of 17%.

4 0

3 years ago

Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of

drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

or

y + 5 = 3/4 x

so, the last option is correct.

3 0

2 years ago

3 3/5 × 2 3/4 Answer in mixed number