What is the slope of the line that passes through the points ( 4, 7 ) and ( 2, 6 ) ?

Answer

m= 1/2

Step-by-step explanation:

Formula for slope = change in y divided by the change in x

Y2 - Y1 = 6 - 7 = -1

X2 - X1 = 2 - 4 = -2

m= -1 divided by -1 = 1/2 or 0.5

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.