Question

WILL GIVE BRAINLIEST WORTH THIRTY POINTS! Find a so that CD will have the given slope: a) C(5,−2), D(−4,a); m=0 b) C(a,–1), D(–3,2); m=undefined c) C(–3,–2), D(1,a); m=2

Answer 1

Step-by-step explanation:

Hey there!

Let's simply work with it.

a. C(5,-2) and D(-4,a).

and m=0

Now,

Here, we must find the value of a.

Use the slope formulae.

$slope \: of \: cd = \frac{y2 - y1}{x2 - x1}$

Keep all values,

$0 = \frac{a + 2}{ - 4 - 5}$

or, 0 = a+2

Therefore, the value of a is -2.

b. C(a,-1), D(-3,2).

and m= undefined.

using slope formulae,

$slope(m) = \frac{y2 - y1}{x2 - x1}$

Keep all values,

$undefined = \frac{2 + 1}{ - 3 - a}$

As the slope is undefined it's value should same on both coordinates so, a must be "-3".

c. C(-3,-2) and D(1,a)

and m= 2.

now,

$slope = \frac{y2 - y1}{x2 - x1}$

Keep all values.

$2 = \frac{a + 3}{1 + 3}$

or, 8= a+3

Therefore, a= 5.

Hope it helps....

Answer 2

Question: Find a so that

CD will have the given slope:

C(–3,–2), D(1,a); m=2

Answer:

a=6

Step-by-step explanation:

(y1 - y2) / (x1 - x2) = slope = 2

(–3,–2) and (1,a)

(-2 - a) / (-3 -1) = 2

(-2 - a) / -4 = 2

a = 6

PS I do rsm :)