Which of these pairs of points
defines a line with a slope ?
a) (0, 4) and (7,5)
b) (4, 0) and (7,5)
c) (4, 0) and (5, 7)
d) (0, 4) and (5, 7)

If the slope is 1/7 the points are A) (0, 4) and (7,5)

If the slope is 5/3 the points are B) (4, 0) and (7,5)

If the slope is 7 the points are C) (4, 0) and (5, 7)

If the slope is 3/5 the points are D) (0, 4) and (5, 7)

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

Calculate the slope of each case

case A) (0, 4) and (7,5)

substitute in the formula

case B) (4, 0) and (7,5)

substitute in the formula

case C) (4, 0) and (5,7)

substitute in the formula

case D) (0,4) and (5,7)

substitute in the formula

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)