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Sagot :
Answer:
y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x ← is in slope- intercept form
with slope m = 4
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}{4}[/tex]
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
here m = - [tex]\frac{1}{4}[/tex] and (a, b ) = (- 10, - 6 ) , then
y - (- 6) = - [tex]\frac{1}{4}[/tex] (x - (- 10) ) , that is
y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)
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