What is the slope of the line through (-10,1)(−10,1)left parenthesis, minus, 10, comma, 1, right parenthesis and (0,-4)(0,−4)

Mathematics

1 answer:

iris [78.8K]3 years ago

4 0

Answer:

$- \frac{1}{2}$

Step-by-step explanation:

We have to find the slope of the line through the points (-10,1) and (0,-4).

We know the formula of slope of a straight line when two different points on the line are known to be ( $x_{1}, y_{1}$ ) and ( $x_{1}, y_{1}$ ) is given by $[\frac{y_{1} - y_{2} }{x_{1} - x_{2}}]$ .

Therefore, in our case ( $x_{1}, y_{1}$ ) ≡ (-10,1) and ( $x_{1}, y_{1}$ ) ≡ (0,-4)

Therefore, the slope is $\frac{1 - (- 4)}{- 10 - 0} = - \frac{1}{2}$ (Answer)

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Assume that your present job pays a monthly gross salary of $1,560. You are offered a new position that pays $8.60 per hour with

motikmotik

Answer:

There are 4 weeks in a month and 40 working hours in a week

Since the $8.60 per hour, the gross monthly salary for your new position = 8.60*40*4 = $1,376

Your gross monthly salary at present job = $1,560

So the additional amount that you need to earn at your new position = 1,560-1,376 = $184

The hourly wage for addtional hours more than 40 hours at the new position = 1 1/2 * 8.60 = 1.5*8.60 = $12.90

So, number of hours that you need to work extra = 184/12.90 = 14.26 hours per month

So, number of hours that you need to work extra per week = 14.26/4 = 3.566 hours or 3.57 hours (Rounded to 2 decimals)

Step-by-step explanation:

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3 years ago

What is the rate of change in decimal form for the points (1,5) (0,-3)

seraphim [82]

Answer:

The rate of change between (1, 5) and (0, -3) would be 8.0.

Step-by-step explanation:

"What is the rate of change between these two points" is the same as asking "what is the slope between these two points".

We are given the two points (1, 5) and (0, -3) and we are asked to find the rate of change (slope) between these two points. To do this, we could use the slope formula to find the rate of change between the two points. The slope formula is:

$\frac{y_2-y_1}{x_2-x_1}$

where (x₂, y₂) and (x₁, y₁) are the two points that we are trying to find the slope between.

Lets make (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3). (It does not matter which is (x₂, y₂) and which is (x₁, y₁)). Now plug (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3) into the equation:

$\frac{5-(-3)}{1-0} =\frac{8}{1}=8$