What is the solution to the equation -5x + 10 = -13x a) No solution
b) x=0
c) x=1
d) x=-1.25

The Solution of the given equation is

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✯ Therefore, the the solution of the given equation is x = - 1.25

Each time x increases by 2 (eg from x = 1 to x = 3), the value of y drops by 10 (eg from y = 20 to y = 10)

Therefore the slope is...

slope = rise/run = (change in y)/(change in x) = -10/2 = -5

slope = -5

So each time x increases by 1, y will decrease by 5

Flip things around: each time x decreases by 1, y will increase by 5

So the pair (x,y) = (1,20) shown in row 1 of the table leads to (0,25) based on the rule above. Another way to see this is to plug m = -5, x = 1 and y = 20 into y = mx+b and solve for b to get b = 25

Answers:

Rate of change = -5

Initial value = 25

Notes: slope is another term for rate of change. The y intercept is another way of stating the initial value