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asambeis [7]
3 years ago
12

Which equation matches to the graph?

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
7 0

Answer:

2. y = -1/2x - 1

Step-by-step explanation:

First we want to find the slope of the line.

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values using two points (-4, 1) & (2, -2)

(-2 - 1) / (2 - (-4))

Simplify the parentheses.

= (-2 - 1) / (2 + 4)

= (-3) / (6)

Simplify the fraction.

-3/6

= -1/2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -1/2x + b

b is the y-intercept when the line crosses the y-axis.

From the graph, we can see that the point on the y-axis is (0, -1)

Therefore, b is -1.

Plug this into the equation.

y = -1/2x - 1

Hope this helps!

erastova [34]3 years ago
4 0

Answer:

<u>Points </u><u>:</u><u>-</u><u> </u>

  • ( -2,0)
  • (0,-1)

<u>Calculation</u><u> </u><u>of </u><u>Slope</u><u> </u><u>:</u><u>-</u><u> </u>

  • m = 0+1/-2-0
  • m = 1/-2
  • m = -1

<u>Y</u><u> </u><u>intercept</u><u> </u><u>:</u><u>-</u><u> </u>

  • y intercept = -1

<u>Using </u><u>Slope</u><u> Intercept</u><u> Form</u><u> </u><u>:</u><u>-</u><u> </u>

  • y = mx + c
  • y = -1/2x + -1
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Margarita [4]
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So x + x + 140 = 180

2x = 40

x = 20

So Angle T = 20 degrees </span>
6 0
3 years ago
It was recently estimated that females outnumber males by about three or two. If there are 1770 people in a county, how many of
max2010maxim [7]

GIVEN

1) Females outnumber males by 3 to 2.

2) There are 1770 people in the city.

SOLUTION

Let the number of males be x and the number of females y. Therefore, the total number of people can be written to be:

x+y=1770\text{   -----------(1)}

If there are 3 females for every 2 males, we have that:

\begin{gathered} \frac{y}{3}=\frac{x}{2} \\ \therefore \\ x=\frac{2y}{3}\text{   ----------(2)} \end{gathered}

We can substitute equation (2) into equation (1) and solve for y:

\begin{gathered} \frac{2}{3}y+y=1770 \\ \frac{2y+3y}{3}=1770 \\ 5y=1770\times3 \\ 5y=5310 \end{gathered}

Dividing both sides by 5, we have

y=1062

There are 1062 females in the county.

3 0
1 year ago
A grocery store sells a bag of 5 lemons for 2$. watnis the unit cost of each lemon in the bag
Ostrovityanka [42]

Answer:

$0.4

Step-by-step explanation:

Unit cost = cost / number of items

Unit cost = 2/5

2 divided by 5

3 0
3 years ago
the radio of used cars at a dealership is 7:5. if the dealership has 156 cars on the lot , how many are new ?​
Serggg [28]

Answer:

91 used

65 new

Step-by-step explanation:

7 + 5 = 12

156/12 = 13

7(13) = 91

5(13) = 65

3 0
2 years ago
Based on the data in the table, how many members would
bezimeni [28]

Answer:

90

Step-by-step explanation:

It starts going up by 6. Then it goes up by 2 more than six. 6, 8, 10. Going up 2 more than last time. 2018 would be 12 more, or 76, and 2019 would be 14 more, or 90.

5 0
3 years ago
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