Parallel means they have the same slope
find the slope
14x - 7y = 8
subtract 14x from both sides
-7y = -14x + 8
divide both sides by -7
y = 2x -8/7

y = mx + b
m is slope
b is y-intercept

We found that the slope is 2
y = 2x + b
to find the y-intercept, plug in the given point
5 = 2(-2) + b
5 = -4 + b
add 4 to both sides
9 = b

The equation
y = 2x + 9

Rewrite to standard form
subtract 9 from both sides
y - 9 = 2x
subtract y from both sides
and rotate the equation
2x - y = -9

Hope this helps

6 0

4 years ago

Identify the quotient in the form a + bi. HELP ASAP PLEASE!!

Step2247 [10]

Solving the expression $\frac{4-5i}{2+3i}$ we get $-\frac{7}{13}-\frac{22i}{13}$

So, Option A is correct.

Step-by-step explanation:

We need to solve the expression: $\frac{4-5i}{2+3i}$

Multiplying and dividing by 2-3i

$=\frac{4-5i}{2+3i}*\frac{2-3i}{2-3i}\\=\frac{4-5i*2-3i}{2+3i*2-3i}\\=\frac{4(2-3i)-5i(2-3i)}{(2)^2-(3i)^2}\\=\frac{8-12i-10i+15i^2)}{4-9i^2}\\We\,\,know\,\, i^2=-1\\=\frac{8-12i-10i+15(-1)}{4-9(-1)}\\=\frac{8-15-12i-10i}{4+9}\\=\frac{-7-22i}{13}\\=-\frac{7}{13}-\frac{22i}{13}$

So, solving the expression $\frac{4-5i}{2+3i}$ we get $-\frac{7}{13}-\frac{22i}{13}$

So, Option A is correct.

Keywords: Complex numbers

Learn more about Complex numbers at:

#learnwithBrainly

8 0

3 years ago