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

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1  

step-by-step explanation: