1. find the slope and the y-intercept of the equation 4x + 5y = -9. 2. find the slope and the y-intercept of the equation y − 3(x − 1) = 0. 3. if a line with a slope of -2 crosses the y-axis at (0, 3), what is the equation of the line?

1. The slope is -4/5 and the y-intercept is (0, -9/5).

2. The slope is 3 and the y-intercept is (0,3).

3. The line is y=-2x+3.

Step-by-step explanation:

To find the slope and y-intercept, convert the equation to y=mx+b where m=slope and b=y-intercept.

1. Convert the equation by rearranging the terms using inverse operations.

4x+5y=-9                             Subtract 4x to both sides.

-4x            -4x

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     5y= -9 -4x                       Divide both sides by 5.

       y= -9/5 - 4/5x

This is now in y=mx+b and m=-4/5 and b=-9/5.

2. Convert the equation by rearranging the terms using inverse operations.

y - 3(x-1)=0                             Add 3(x-1) to both sides.

   +3(x-1)      +3(x-1)

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            y = 3(x+1)                  Multiply 3 into the parenthesis.

            y = 3x+3

This is now in y=mx+b and m=3 and b=3.

3. Write the equation of a line using point slope form

.

This becomes

Here m =-2 and b=3.

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.