All categories

3 years ago

The graph of a line passes through the points (0,5) and (-10,0). What is the equation

Mathematics

1 answer:

pav-90 [236]3 years ago

7 0

Answer:

Y=1/2x +5

Step-by-step explanation:

(0,5) (-10,0)

0-5/-10-0=1/2

(0,5) (x, y)

Y-5/x-10=1/2(crossmultiply)

2y-10=x

2y= x +10(divide all sides by 2)

Y=1/2x+5

You might be interested in

Write an algebraic expression for the given quantity. Let x represent the unknown value.

Lelechka [254]

Answer:

Step-by-step explanation:

There is no equal sign.

1/2 x - 5*x

is all there is.

7 0

3 years ago

What are the solutions to the equation x2 + bx+c=0?

nevsk [136]

Answer:

Find the complex solutions using the quadratic formula.

−

√

−

√

−

Step-by-step explanation:

8 0

3 years ago

Need ASAP i will give 10 points

kondor19780726 [428]

Answer:

B) 1

Step-by-step explanation:

There are 8 pairs of data in the table but only 7 points plotted in the graph,

hence there must be 1 point that is missing from the graph.

It turns out that the missing point that was not plotted is (10, 2.5)

5 0

3 years ago

It has been said that newspapers are disappearing, replaced by various electronic media. In 2004, newspaper circulation (the num

shutvik [7]

Answer:

A. $y=-1.2x+59$

B. 42.2 million

Step-by-step explanation:

Part A:

Given:

Newspapers circulated in year 2004, $y_{1}=59\textrm{ million}$

Newspapers circulated in year 2014, $y_{2}=47\textrm{ million}$

Let the time $x$ start at the year 2004. So, $x_{1}=0$

For the year 2014, $x_{2}=2014-2004=10$

Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:

$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})\\y-59=\frac{47-59}{10-0}(x-0)\\y-59=-\frac{12}{10}x\\y=-1.2x+59$

Therefore, the equation describing the relationship is: $y=-1.2x+59$

Part B:

For the year 2018, $x=2018-2004=14$

Plug in 14 for $x$ in the above equation and solve for $y$ . This gives,

$y=-1.2(14)+59\\y=-16.8+59\\y=42.2$

Therefore, in the year 2018, the newspaper circulation will be 42.2 million.

8 0

3 years ago

What linear function represents the line given by the point slope equation y+7= 2/3(x+6)?

aleksandrvk [35]

Answer:

The graph of the line in the attached figure

Step-by-step explanation:

we have

$y+7=\frac{2}{3}(x+6)$

This is the equation of a line into point slope form

The slope is $m=\frac{2}{3}$

The line pass through the point (-6,-7)

To graph the line find the y-intercept

Remember that

The y-intercept of the line is the value of y when the value of x is equal to zero

For x=0

$y+7=\frac{2}{3}(0+6)$

$y+7=\frac{2}{3}(6)$

$y+7=4$

$y=4-7=-3$

The y-intercept is the point (0,-3)

with the point (-6,-7) and (0,-3) plot the line

see the attached figure

8 0

3 years ago