Writing equations from ordered pairs

Use point slope form by finding the slope between two of the points given on the line and inputting it with a point into the formula.

Step-by-step explanation:

To write an equation for linear equations, we use one of three forms: standard, slope intercept, and point slope. Slope intercept and point slope are the most common. After we choose our form, we need to find the information required for that form. Point slope is easiest since it requires the slope/rate of change and any point on the line.

Finding Slope

The rate of change equation for a linear function is

.

We select two points to represent and from the ordered pairs given.

Using Point-slope Form

The form is

Substitute the slope in for m. Then choose any given order pair from the line for . Simplify. After simplifying you can solve for y and convert into slope intercept if needed.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47