Respuesta :
Answer:
[tex]Rx+Py=RP[/tex]
Step-by-step explanation:
The points on the straight line are (P, 0) and (0, R).
The slope would be
[tex]m=\frac{R-0}{0-P}=-\frac{R}{P}[/tex]
And [tex]b=R[/tex], because the y-intercept is at (0, R).
So, the equation of this line would be
[tex]y=-\frac{R}{P} x+R[/tex]
Where we multiply the equation by [tex]P[/tex]
[tex]Py=-Rx+RP[/tex]
Therefore, the equation that represents this line is
[tex]Rx+Py=RP[/tex]
So, the right answer is B.
The equation of a line in a standard form has x-intercept (P,0) and y-intercept (0,R) is (Py + Rx = RP) and this can be determined by using the point-slope form.
Given :
- x-intercept (P,0)
- y-intercept (0,R)
The point-slope form can be used to determine the equation of a line in a standard form that has x-intercept (P,0) and y-intercept (0,R).
The point-slope form of the line is given by the equation:
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex] --- (1)
where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.
Now, put the values of points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the equation (1).
[tex]\rm \dfrac{y-0}{x-P}=\dfrac{R-0}{0-P}[/tex]
[tex]\rm \dfrac{y-0}{x-P}=-\dfrac{R}{P}[/tex]
Py = -Rx + RP
Py + Rx = RP
The equation of a line in a standard form has x-intercept (P,0) and y-intercept (0,R) is (Py + Rx = RP). Therefore, the correct option is B).
For more information, refer to the link given below:
https://brainly.com/question/6539370
