Question

What is the equation of the given line in standard form? Use integer coefficients.

y = -6.9x + 5.1
A. -69x + 10y = -51
B. 69x + 10y = -51
C. 69x + 10y = 51
D. -69x + 10y = 51

Answer 1

First, you need every number to become a whole number

so because we have decimal numbers, we need to change that

Answer 2

6.9 and 5.1 both have 1 decimal place

so multiplying them by 10^1 = 10 will move that decimal 1 spot to the right

Answer 3

multiply both sides by 10

y = -6.9x + 5.1

10y = 10(-6.9x + 5.1)

10y = -69x + 51

Notice how the decimal numbers are now whole numbers

Answer 4

The last step is to add 69x to both sides to cancel out the -69x on the right side

we do this because we want to move over that 69x