Please help, test due in 2 hours! Will give good review and brainliest.

Mathematics

1 answer:

elena55 [62]3 years ago

4 0

Answer:

B. Ellipse

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In a linear equation relating income and consumption, you know that the intercept is $1,000 and the slope of the line is 4. if i

Amiraneli [1.4K]

A general equation of a linear function is expressed as y = mx + b where m represents the slope and b is the y-intercept. The slope is the rate of change of y with respect x which is equal to 4 for this problem. The y-intercept represents the value when x is equal to zero. It is the initial value of y. In this case, it is equal to $1,000. The linear equation would be:

y = 4x + 1000

assuming y is the income and x is the consumption.

At an income (y) equal to $20,000, we can calculate for the consumption.

20000 = 4x + 1000
19000 = 4x
x = 4750

3 0

3 years ago

A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that

NeTakaya

Answer:

The slope of the line that represents the number of tests on the y-axis and the time in weeks on the x-axis is $\frac{3}{4}$ .

Step-by-step explanation:

<h3>Definition of slope of a line:</h3>

The slope of a line describes its steepness. In mathematical terms, for a line passing through two points with known coordinates, the slope is defined as the ratio of the change in the y-coordinates to the change in the x-coordinates.

<h3>Formula for the slope of a line:</h3>

Let 'm' represent the slope of a line passing through two points with coordinates $(x_{1},y_{1})$ and $(x_{2},y_{2})$ . So, according to the definition, the slope of the line can be written as follows,

$m=\left|\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\right|$

<h3>Calculation of slope:</h3>

According to the information given in the question, the school conducts $27$ tests in $36$ weeks.

Now, any point on the $x-$ axis is given by the general form $(x,0)$ , where $x$ represents any numerical value on the axis. Similarly, any point on the $y-$ axis is given by the general form $(0,y)$ , where $y$ represents any numerical value on the axis.

It is given that the time in weeks is represented on the $x-$ axis, so $36$ weeks can be represented as coordinates as $(36,0)$ . Likewise, the number of tests conducted, i.e., $27$ can be represented as coordinates as $(0,27)$ .