IDNStudy.com, ang iyong mapagkukunan para sa mabilis at eksaktong mga sagot. Ang aming komunidad ay handang magbigay ng malalim at maaasahang mga sagot, anuman ang kahirapan ng iyong mga katanungan.

Find the equation:
2,) sum of intercepts is 5 and slope is 3


Sagot :

We know that the line has intercepts (x,0) and (0,y). And the sum of x and y is 5. So we have the first equation: x + y = 5

Using the formula for the slope of a line we have:
m = [tex] \frac{0-y}{x-0} [/tex] = [tex] \frac{-y}{x} [/tex] = 3
Thus, y = -3x

We now have a system of equation. Using substitution,
x -3x = 5
-2x = 5
x = [tex] \frac{-5}{2} [/tex]
Therefore, y = [tex] \frac{15}{2} [/tex]

Substitute to y = mx +b, the equation of the line is
y = 3x + 15/2