Write the standard form of the equation that passes through the point (-2, 4) and is parallel to x - 2y = 6. include your work in your final answer. type your answer in the box provided or use the upload option to submit your solution.

The equation of line passing through point ( - 2 , 4) with slope parallel to given line is   y =   x + 5

Step-by-step explanation:

Given as :

The equation of line is x - 2 y = 6

Or, 2 y = x - 6

Or, y = × x -  

i.e y = × x -  3

Now, Standard equation of line in slope-intercept form

y = m x + c

where m is the slope of line

And c is the y-intercept

Now, Compare given line with standard line equation

So, The slope of line y = × x -  3 = m =

Again

Other line is passing through points ( - 2 , 4) and is parallel to given line

∵ For parallel lines condition

The slope of both lines are equal

Let The slope of other line = M

So, from condition

M = m =  

Now, equation of line passing through point ( - 2 , 4) with slope  

So, Equation of line in slope-point form

y - = M × (x - )

Or, y - 4 =   × (x - ( - 2) )

Or, y - 4 =   × (x + 2 )

Or, y = × (x + 2 ) + 4

Or, y =   × x +   × 2 + 4

Or, y = × x +   + 4

∴   y =   × x + 1 + 4

i.e y =   x + 5

So, Equation of other line  y =   x + 5

Hence, The equation of line passing through point ( - 2 , 4) with slope parallel to given line is   y =   x + 5 . Answer

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

36/60

36/2=18

60/2=30

18/30

18/3=6

30/3=10

6/10

6/2=3

10/2=5

your final answer would be 3/5 of an

hope this !