Write the equation of a line in standard form that has x-intercept (p, 0) and y-intercept (0, r).

Step-by-step explanation:

The main characteristic of a line is its slope, it's the definition of it, it refers to the inclination of a line.

The explicit equation of a line is: ; where, m is the slope and b is the interception of the line with y-axis.

So, first we need to find the slope and then replace it in the explicit equation. we take (0, R) as the first point and (P, 0) the last point. So,

Then, we replace the slope and the y intersection in the explicit equation, and we find the final equation, that is:

The answer to your question is:                y = -R/P x  + R

Step-by-step explanation:

Data

x-intercept (P,0)

y-intercept (0,R)

Slope

             m = (y2 - y1) / (x2 - x1)

             m = (R - 0) / (0 - P)

             m = R / -P  = - R / P

Equation

            (y - y1) = m(x - x1)

            (y - R) = - R/P (x - 0)

             y - R =  - R/P x

             y = -R/P x  + R

a

step-by-step explanation:

the degrees would remain the same ( the number to the left of the decimal point.

the multiply the decimal by 60 to get the minutes and use the numbers to the left of the decimal point.

then multiply the decimal portion of that by 60 for the seconds and round off as needed.

39 .956652

the 39 remains the degrees.

the minutes = 0.956652 x 60 = 57.39912

the minutes = 57

the seconds = 0.39912 x 60 = 23.95 = 24 ( rounded to nearest tenth)

so 39.956652 = 39 degrees, 57 minutes and 24 seconds

-75.159809

the -75 remains the degrees

the minutes = 0.159809 x 60 = 9.58854

the minutes = 9

the seconds = 0.58854 x 60 = 35.31, rounded to nearest tenth = 35.3 seconds

so -75.159809 = -75 degrees, 9 minutes and 35.3 seconds.

the first coordinate is north or south, since it it positive it is north.

the second number is east or west, because it is negative it is west.

39 degrees, 57 minutes and 24 seconds n

-75 degrees, 9 minutes and 35.3 seconds w