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Substitute the given values of the intercepts.
-3x+6y=30
The given equation represents a straight line and it crosses both axes at some point. We were given the following equation.
x+ y=30
We will fill in the boxes with the coefficients of x and y. First, let's find the coefficient of x.
We are given that the x-intercept is -10. This corresponds with the point (-10,0). We can substitute this information into the given equation to solve for our coefficient of x.
y= 0, x= -10
Zero Property of Multiplication
.LHS /(-10).=.RHS /(-10).
This means that the coefficient of x is -3. Now we can write our equation in the following form. -3x+ y=30
To find the coefficient of y, we will go through a similar process. We are given that the y-intercept is the point (0,5). We can substitute this point into the equation and solve.
x= 0, y= 5
Zero Property of Multiplication
.LHS /5.=.RHS /5.
We found that the coefficient of y is 6. Now we can write the full equation. -3x+6y=30