Question

Solve for the missing variable (5, 4) & (2, c) slope is equal to 1/2 Please answer fast

Answer 1

Answer:

c = $\frac{5}{2}$

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to $\frac{1}{2}$

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (2, c)

m = $\frac{c-4}{2-5}$ = $\frac{c-4}{-3}$ , then

$\frac{c-4}{-3}$ = $\frac{1}{2}$ ( cross- multiply )

2(c - 4) = - 3

2c - 8 = - 3 ( add 8 to both sides )

2c = 5 ( divide both sides by 2 )

c = $\frac{5}{2}$