Answer:
y - 7 = -2(x - 4)
Step-by-step explanation:
We are asked to write the equation of a line in point slope form
Step 1 : find slope
We are given the slope to be -2
Slope m = -2
Step 2: substitute m into point slope form
y - y_1 = m( x - x_1)
y - y_1 = -2 ( x - x _1)
Step 3: substitute the point into the equation
y - y_1 = -2( x - x _1)
( 4 , 7)
x_1 = 4
y_1 = 7
y - 7 = -2( x - 4)
We don't need to open the bracket because we are asked to write the equation in a point slope form
see the attached figure to better understand the problem
we know that
if OP ll LN
then
by proportion

we have that

substitute

therefore
<u>the answer is</u>
The value of y is 

= - 20
You can subtract the numbers in the parenthesis:
(3-11) = (-8)
Multiply the denominator to both sides so it cancels out and isolates the variable

× -8 = - 20 × -8
-8 and -8 cancels out
k = 160Quick check:

= -20

= - 20
- 20 = - 20
Yes its right
the answer is:
k =160
Answer:
5x + 4y - 20 = 0
Step-by-step explanation:
1. Find the two points given: (0,5) and (4,0)
2. Find the slope of the line:
m = 
3. Find y intercept by plugging in one point into the y-intercept form
y = (-5/4) x + b
0 = (-5/4) (4) + b
b = 5
4. Write out the equation in y-intercept form
y = (-5/4) x + 5
5. Rewrite it in Ax + By + C = 0 form
(5/4) x + y - 5 = 0
6. Since A B C all need to be integers, multiply the whole equation by 4
5x + 4y - 20 = 0
No because the greater is 97mm is a great difference between 14 and 97