Find the equation of the line. use exact numbers.

Mathematics

1 answer:

svp [43]3 years ago

6 0

Answer:

y=4x -9

Step-by-step explanation:

y intercept- where the line crosses the y-axis (-9)

Rise over run- 4

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What equation represents the proportional relationship displayed in the table?

KATRIN_1 [288]

Answer:

$y=6x$

Step-by-step explanation:

Given:

The table is given as:

x 0 4 7 8

y 0 24 42 48

The relationship between 'x' and 'y' is a proportional relationship.

A proportional relationship is one in which one variable varies directly with the other by a factor of 'k' also known as constant of proportionality and $k\ne 0$

A proportional relationship is given as:

$y=kx$

Now, we plug in 'x' and 'y' values and find the value of 'k'.

Let $x=4\ and\ y=24$

$24=k\times 4\\\\k=\frac{24}{4}=6$

Therefore, the constant of proportionality is 6. Hence the complete equation is given as:

$y=6x$

3 0

3 years ago

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money an

Alenkasestr [34]

Answer:

The money each boy had after buying his ticket is $2.50.

Step-by-step explanation:

Given:

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket.

Now, to find the money each boy had after buying his ticket.

Let the money each boy had after buying his ticket be $x.$