Question

Find the equation of the line passing through the point of intersection of the lines.
i) x + y + 1 = 0, 2x – y + 5 = 0 and the point (5, - 2).
plz answer chapava​

Answer 1

Answer:

Step-by-step explanation:

1 step is solving given system of equations

x + y + 1 = 0 .... (1)

2x - y + 5 = 0 .... (2)

(1) + (2)

3x + 6 = 0 ⇒ x = - 2

- 2 → (1)

- 2 + y + 1 = 0 ⇒ y = 1

(- 2, 1)

2 step is writing equation of the line passing through the points (- 2, 1) and (5, - 2)

Find slope of sought-for line

m = ($y_{2}$ - $y_{1}$) / ($x_{2}$ - $x_{1}$) = $\frac{-2-1}{5+2}$ = - $\frac{3}{7}$

Find the equation of sought-for line by using point-slope form

y - $y_{1}$ = m(x - $x_{1}$)  

y - 1 = - $\frac{3}{7}$ (x + 2)

y = - $\frac{3}{7}$ x + $\frac{1}{7}$ slope-intercept form

or

3x + 7y = 1 standard form