what is the slope of this line? \nsimplify your answer and write it as a proper fraction, improper fraction…
what is the slope of this line? \nsimplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer
Explanation:
Step1: Recall slope formula
The slope ( m ) between two points ((x_1, y_1)) and ((x_2, y_2)) is ( m = \frac{y_2 - y_1}{x_2 - x_1} ).
Step2: Identify the points
We have two points: ((x_1, y_1) = (0, 3)) and ((x_2, y_2) = (2, -5)).
Step3: Substitute into the formula
Substitute the values into the slope formula: ( m = \frac{-5 - 3}{2 - 0} ).
Step4: Simplify the expression
Calculate the numerator and denominator: ( -5 - 3 = -8 ) and ( 2 - 0 = 2 ). So ( m = \frac{-8}{2} = -4 ).
Answer:
(-4)