WRITE an equation of the line that passes through the given point and is PARALLEL to the given line. (10, -12), 3x + 4y = 1

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

Rearrange the given equation into slope-intercept form (this will help us determine m)

Subtract 3x from both sides to isolate 4y

Divide both sides by 4 to isolate y

Now, we can identify that is the slope of the line. Parallel lines have the same slope, so this would also be the slope of the line we're solving for. Plug this into :

2) Determine the y-intercept (b)

Plug in the given point (10,-12) and solve for b

Add to both sides to isolate b

Therefore, the y-intercept is . Plug this back into :

I hope this helps!

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

13.46

step-by-step explanation:

16.80 x .20 = 13.46