Determine the equation of the line that passes through points (-4,5) and has a slope of m = -3

y=-3x-7

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-4,5) and has a slope of -3.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -3. So you can right away fill in the equation for a line somewhat to read:

y=-3x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-4,5). When x of the line is -4, y of the line must be 5.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,5).

So, why not plug in for x the number -4 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-4,5). y=mx+b or 5=-3 × -4+b, or solving for b: b=5-(-3)(-4). b=-7.

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.

i don't have the answer rn but go to math papa. it shows the steps and the answer. hope this : )

step-by-step explanation: