Given the formula y = mx + b, what is the slope of a line, m, if x = 5, y = 7, and b = 10?

Answer: The slope of a line m is - 3/5 or - 0.6

Step-by-step explanation:

y = mx + b where y = 7, m = ?, x = 5, b = 10.

Substituting for the values of y, m, and b into equation y = mx + b, we have,

7 = m (5) + 10

7 = 5m + 10

Subtracting 10 from both sides, we have,

7 - 10 = 5m + 10 - 10

-3 = 5m

Dividing both sides by 5, we have,

-3/5 = m

m = - 3/5 or - 0.6

y = mx + b

if x = 5, y = 7, and b = 10

Plug in

7 = m (5) + 10

-3 = 5m

re-write

5m = - 3

m = - 3/5

Answer

slope m = - 3/5