The points (4, -11) and (8, r) lie on a line with slope 2. Find the missing coordinate r.

Mathematics

1 answer:

WINSTONCH [101]2 years ago

7 0

Answer:

The answer to your question is r = -3

Step-by-step explanation:

Data

A (4, -11)

B (8, r)

slope = m = 2

r = ?

Process

1.- Use the slope equation to find the coordinate r.

Formula

$m = \frac{y2 - y1}{x2 - x1}$

Substitution

$m = \frac{r + 11}{8 - 4}$ = 2

2.- Simplify

$\frac{r + 11}{4} = 2$

3.- Solve for r

Multiply both sides by 4

$\frac{4(r + 11)}{4} = 2(4)$

Simplify

r + 11 = 8

Subtract 11 in both sides

r + 11 - 11 = 8 - 11

Simplify

r = -3

You might be interested in

The baseball team has won 50 games of 75 players. The team has 45 remaining games to play.How many of remaining games must a tea

Paul [167]

the baseball team must win 22 more games to win 60% of total games played in the season.

/////////////////////////////////////////////////////////////////////////////////////

we know that the team played 75 games and will play 45 more games.

1st step: 75 + 45 = 120

2nd step: find 60% of 120 which is 72

3rd step: 72 - 50 = 22

5 0

3 years ago

NEED ANSWER QUICK, fastest correct answer will be marked brainiest !!!!

makkiz [27]

I’m pretty sure he could only make 1 rectangle with 5cm because it’s an odd number which means he couldn’t stack them on top of each other evenly like he could with the 6cm rectangles, so he’d only be able to line them up next to each other and that’s it (I hope that’s right; sorry if it’s not but it makes sense to me lol)

8 0

3 years ago

Write the slope-intercept form of the equation of each line

lesya692 [45]

Answer:

1.) y= $\frac{1}{6} x$ + $\frac{13}{6}$