Solve for k such that a line passing through (-k, -5) and (-3, k+2) has a slope of 3/4. show all work!

k = - 37

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- k, - 5) and (x₂, y₂ ) = (- 3, k+2)

m = , that is

= ( cross- multiply )

4(k + 7) = 3(- 3 + k) ← distribute both parenthesis

4k + 28 = - 9 + 3k ( subtract 3k from both sides )

k + 28 = - 9 ( subtract 28 from both sides )

k = - 37

all work is shown and pictured and all complete

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step-by-step explanation: