Use an equation to find the value of k so that the line that passes through the given points has the given slope. ( 4,−4), (k,−1); slope=34

Using the equation of slope of a straight line, the value of k is 4.09.

Given the following points:

To find the value of k, we would use the equation of slope of a straight line:

Substituting the points and slope into the formula, we have;

Cross-multiplying, we have:

k = 4.09

Therefore, the value of k is 4.09.

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The formula of a slope:

We have the points (4, -4) and (k, -1) and the slope m = 34.

Substitute:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3