find the slope of the line that passes through (10, 7) and (4, 14). simplify your answer and write it as a…

Explanation:

Step1: Recall the slope formula

The slope ( m ) between two points ( (x_1, y_1) ) and ( (x_2, y_2) ) is given by ( m=\frac{y_2 - y_1}{x_2 - x_1} ).

Step2: Identify the points

Let ( (x_1, y_1)=(10, 7) ) and ( (x_2, y_2)=(4, 14) ).

Step3: Substitute into the formula

Substitute the values into the slope formula: ( m=\frac{14 - 7}{4 - 10} ).

Step4: Simplify the numerator and denominator

Simplify the numerator: ( 14 - 7 = 7 ). Simplify the denominator: ( 4 - 10=-6 ). So, ( m = \frac{7}{-6}=-\frac{7}{6} ).

Answer:

(-\frac{7}{6})