Line k passes through points (-3,-6) and (-1,12) what is the slope of the line perpendicular to line c
1 answer:
Do you mean "perpendicular to k"? We have no line c there so I'm going with line k. First we need the slope of line k. Fitting those values into the slope formula we have 
. So the slope of k is 9. The slope of a line perpendicular to k has the opposite sign and the fraction is flipped. The perpendicular slope then is -1/9.
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Check the picture below.
based on the equation, if we set y = 0, we'd end up with 0 = 0.5(x-3)(x-k).
and that will give us two x-intercepts, at x = 3 and x = k.
since the triangle is made by the x-intercepts and y-intercepts, then the parabola most likely has another x-intercept on the negative side of the x-axis, as you see in the picture, so chances are "k" is a negative value.
now, notice the picture, those intercepts make a triangle with a base = 3 + k, and height = y, where "y" is on the negative side.
let's find the y-intercept by setting x = 0 now,
now, we can plug those values on A = (1/2)bh,
