Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
4. Graphing Linear Equations in Standard Form
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Exercise 35 Page 134

Substitute the given values of the intercepts.

-3x+6y=30

Practice makes perfect

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.

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.

x+ y=30
( -10)+ ( 0)=30
(-10)=30
=-3

This means that the coefficient of x is -3. Now we can write our equation in the following form. -3x+ y=30

Coefficient of y

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.

-3x+ y =30
-3( 0)+ 5=30
5=30
=6

We found that the coefficient of y is 6. Now we can write the full equation. -3x+6y=30