Answer:
[tex]y = \frac{7}{4}x - \frac{5}{4}[/tex]
Step-by-step explanation:
Equation of line K: [tex]y = \frac{-4}{7}x + 1[/tex]
m₁ = -4/7
The slope of line I = -1 / m₁ = -1÷(-4/7)
= [tex]-1 * \frac{-7}{4}[/tex]
= 7/4
( -5 , -10) ; m = 7/4
y - y1 = m(x - x1)
y - [-10] = [tex]\frac{7}{4}(x -[-5])[/tex]
y + 10 = [tex]\frac{7}{4}(x +5)\\[/tex]
y + 10 = [tex]\frac{7}{4}x+5*\frac{7}{4}\\[/tex]
[tex]y = \frac{7}{4}x + \frac{35}{4} - 10\\\\y = \frac{7}{4}x + \frac{35}{4} -\frac{40}{4}\\\\y = \frac{7}{4}x + \frac{35-40}{4}\\\\y = \frac{7}{4}x - \frac{5}{4}[/tex]
