The points(1,r) and (5,-4) lie on a line with slope 5. find the missing coordinate r.

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

5 0

The value of r is -24

Step-by-step explanation:

Given points are:

(1,r) and (5,-4)

Let the points be:

(x1,y1) = (1,r)

(x2,y2) = (5,-4)

m = 5

The slope is given by:

$m = \frac{y_2-y_1}{x_2-x_1}\\5 = \frac{-4-r}{5-1}\\5 = \frac{-4-r}{4}\\5 * 4 = -4-r\\20 = -4-r\\20+4 = -4-r+4\\24 = -r\\r = -24$

Hence,

The value of r is -24

Keywords: Slope, coordinates

Learn more about slope at:

#LearnwithBrainly

You might be interested in

Find the solution to the equations. 2x - y = -3 x y = 0 (0, 0) (-1, 1) (1, -1)

rosijanka [135]

(2x-y = -3 × y = 0 × (0, 0) × ( -1, 1) × (1, -1) = (2x - y = -3 × y =0 × (0)) ×, × 0 ×, × 1 ×, × -1

4 0

3 years ago

19+7÷2 x 6+1=1 We’re to put brackets to make it =1

dimaraw [331]

It is 41
Please thanks

3 0

3 years ago

Write an equivalent expression? Explain your reasoning. (t+t+t) +7t-6/(t+t+t)+2t-3

kiruha [24]

Answer:

Step-by-step explanation:

Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

5 0

3 years ago

Read 2 more answers

You purchased a rare painting for $150 that is increasing in value by 3% annually. How many years will it take until it is doubl

Ahat [919]

Answer:

23 years.

Step-by-step explanation:

It is given that the initial price of painting is $150 and its values increasing by 3% annually.

We need to find how many years will it take until it is doubled in value.

The value of painting after t years is given by

$y=150(1+0.03)^t$