Respuesta :
Answer:
y + 1 = 5(x - 10)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the t-intercept )
rearrange x + 5y = 5 into this form ( subtract x from both sides )
5y = - x + 5 ( divide all terms by 5 )
y = - [tex]\frac{1}{5}[/tex] x + 1 ← in slope- intercept form
with slope m = - [tex]\frac{1}{5}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1/5}[/tex] = 5
using m = 5 and (a, b) = (10, - 1), then
y + 1 = 5(x - 10) ← in point- slope form
