Respuesta :
The equation of a line perpendicular to y=4/24x that pass through the point (-8, -4) is -6x-4y=16 where x-intercept is -6 and y-intercept is -4.
What is an equation or line?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables.
What is equation of a straight line?
The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.
Given line ;
y=1x/6
now comparing it with y=mx+c to find the value of m and we found;
m1=1/6
now if two lines are perpendicular then,
m1.m2=-1
m2=-6
now finding the equation of line passing through the point (-8, -4)
x1=-8
y1=-4
(y−y1)=m(x−x1)
Y+4=(-6)(x+4)
Y+4=(-6x/4)
Y=(-6x/4)-4
Y=(-6x-16)/4
4y=-6x-16
rearrange;
-6x-4y=16
this is our required value.
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