Question

Complete the equation of the line through (-6,-5)(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and (-4,-4)(−4,−4)left parenthesis, minus, 4, comma, minus, 4, right parenthesis.
Use exact numbers.
y=y=y, equals

Answer 1

Answer: y = 1/2x - 2

Step-by-step explanation: it’s right on khan academy (picture for proof)

Answer 2

Answer:

y = 1/2 x -2

Step-by-step explanation:

rise/run from (-6, -5) to (-4, -4) = 1/2

(rise 1, run 2)

meaning that slope (m) = 1/2

we can now rewrite our points in y=mx + b formatting:

y = mx + b

-5 = (1/2)(-6) + b

-4 = (1/2)(-4)+b

now, let's solve for b

-5 = (1/2)(-6) + b

-5 = -3 + b

-2 = b

-4 = (1/2)(-4)+b

-4 = -2 + b

-2 = b

So, the equation for our line is y = $\frac{1}{2}$ x- 2

hope this helps!! have a lovely day :)