Write a function for the line with a slope of −14 that passes through the point (4, 5)

Mathematics

1 answer:

zmey [24]3 years ago

5 0

Answer:

y = -14x + 61

Step-by-step explanation:

y = mx + b

First, we can find the slope by reading the question and plugging in the slope of -14 into a slope-intercept formula.

y = (-14)x + b

Now, we need to find the "b" value. We can plug anything we want in for x and y here, but we want the equation for the line that passes through the the point (4,5). Plug in 4 into the x value and 5 into the y value, and solve for b.

5 = (-14)(4) + b

(Flip the equation, so we can solve for b.)

b = 5 - (-14) (4)

(Multiply.)

b = 5 - -56

(Substitute the double minus for a plus sign and add.)

b = 5 + 56

b = 61

Now, plug in your "b" value into our original equation.

FINAL ANSWER:

y = -14x + 61

You might be interested in

Relationship A has a greater rate than Relationship B. This table represents Relationship B. Hours worked 2 4 5 8 Amount paid ($

Elis [28]

It could be either y = 12.75x or y = 13x. Check if you made a typing error because these rates are both better than B

4 0

3 years ago

Read 2 more answers

Pls help me answer this question

docker41 [41]

x=
d+a
——
b+c
Answer above

7 0

2 years ago

Does the table show a direct proportional relationship? If so, what is the constant of proportionality?

lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ( $k$ ) is described by the following expression:

$k = \frac{y}{x}$ (1)

Where:

$x$ - Input.

$y$ - Output.

If we know that $(x_{1}, y_{1}) = (13, 45.5)$ , $(x_{2}, y_{2}) = (14, 49)$ and $(x_{3}, y_{3}) = (15, 52.5)$ , then the constants of proportionalities of each ordered pair are, respectively: