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3 years ago

The point-slope form of a line that has a slope of –2 and passes through point (5, –2) is shown below.

Mathematics

2 answers:

Ilya [14]3 years ago

8 0

Answer:

y =-2x+8

Step-by-step explanation:

We have a point and a slope

(5,-2) and m =-2

The slope intercept form of a line is

y = mx+b

y = -2x+b

Substitute in the point

-2 = -2(5)+b

-2 = -10+b

Add 10 to each side

-2+ 10 = -10+10 +b

8 = b

The equation is

y =-2x+8

professor190 [17]3 years ago

7 0

Answer:

y = negative 2 x + 8

Step-by-step explanation:

y + 2 = negative 2 (x minus 5)

y + 2 = -2x + 10

y = -2x + 10 - 2

y = -2x + 8

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zmey [24]

Answer:

The number of restaurant-purchased meals eaten in a restaurant is 75, the number eaten in a car is 33 and the number eaten at home is 55.

Step-by-step explanation:

Suppose, the number of meals eaten in a restaurant is $x$ , in a car is $y$ and at home is $z$

The total number of meals eaten in a restaurant, in a car or at home is given as 163. So, the first equation will be......

$x+y+z=163 .............................(1)$

The total number meals eaten in a car or at home exceeds the number eaten in a restaurant by 13. So, the second equation will be......

$y+z=x+13 ................................(2)$

Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. So, the third equation will be......

$x= z+20..................................(3)$

First, substituting equation (2) into equation (1), we will get........

$x+(x+13)=163\\ \\ \Rightarrow 2x+13=163\\ \\ \Rightarrow 2x=163-13=150\\ \\ \Rightarrow x=\frac{150}{2}=75$

Now plugging this $x=75$ into equation (3), we will get......

$75=z+20\\ \\ \Rightarrow z=75-20= 55$

Plugging $x=75$ and $z=55$ into equation (1) .........

$75+y+55=163\\ \\ \Rightarrow y+130=163\\ \\ \Rightarrow y=163-130=33$

So, the number of restaurant-purchased meals eaten in a restaurant is 75, the number eaten in a car is 33 and the number eaten at home is 55.

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