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Homework 4/15-19
Question 9 of 10 (1 point) | Question Attempt: 1 of 2
1
2

=3
4

×5

×6
7
Incorrect
Your answer is incorrect.
The points
(-14,5) and
(r,7) lie on a line with slope
(1)/(4). Find the missing coordinate
r.

r=

Homework $4$ / $15$ $-19$ $\newline$ Question $9$ of $10$ ( $1$ point) | Question Attempt: $1$ of $2$ $\newline$ $1$ $\newline$ $2$ $\newline$ $=3$ $\newline$ $4$ $\newline$ $\times 5$ $\newline$ $\times 6$ $\newline$ $7$ $\newline$ Incorrect $\newline$ Your answer is incorrect. $\newline$ The points $(-14,5)$ and $(r, 7)$ lie on a line with slope $\frac{1}{4}$ . Find the missing coordinate $r$ . $\newline$ $r=$

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Write equations of cosine functions using properties

Full solution

Q. Homework

4

/

15

-19

\newline

Question

9

of

10

(

1

point) | Question Attempt:

1

of

2

\newline

1

\newline

2

\newline

=3

\newline

4

\newline

\times 5

\newline

\times 6

\newline

7

\newline

Incorrect

\newline

Your answer is incorrect.

\newline

The points

(-14,5)

and

(r, 7)

lie on a line with slope

\frac{1}{4}

. Find the missing coordinate

r

.

\newline

r=

Use slope formula: Use the slope formula: $\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$ . We know the slope is $\frac{1}{4}$ , $y_2 = 7$ , $y_1 = 5$ , $x_1 = -14$ , and we need to find $x_2$ which is $r$ .
Plug in values: Plug in the known values into the slope formula: $\frac{1}{4} = \frac{7 - 5}{r - (-14)}$ .
Simplify equation: Simplify the equation: $\frac{1}{4} = \frac{2}{r + 14}$ .
Cross multiply: Cross multiply to solve for $r$ : $1\times(r + 14) = 4\times2$ .
Perform multiplication: Perform the multiplication: $r + 14 = 8$ .
Subtract to solve: Subtract $14$ from both sides to solve for $r$ : $r = 8 - 14$ .
Calculate value: Calculate the value of $r$ : $r = -6$ .

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