Question

(-1, 2) and (3, k + 3); m =3/4​

Answer 1

Answer:

k = 2

Step-by-step explanation:

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step 1: Replace variables

$\frac{(k+3)-2}{3+1} =\frac{3}{4}$

Step 2: Combine like terms

$\frac{k+1}{4} =\frac{3}{4}$

Step 3: Solve for k

k + 1 = 3

k = 2

Answer 2

Answer:

k=2

Step-by-step explanation:

The slope is 3/4

The slope formula is (y1-y2)/(x1-x2)

We can plug the values in

(2-k-3)/(-1-3)=3/4

Combine like terms

(-1-k)/-4=3/4

Cross multiply

-12= -4 - 4k

-8=-4k

k=2

Hope this helps!