Exercise 31 Page 134

Each graph has a different set of x- and y-intercepts. By finding these, we can identify which graph belongs to which equation.

x-intercept

The x-intercept occurs when y=0. By substituting 0 for y into our equation and solving for x, we can find the x-intercept.

The x-intercept is at the point (6,0).

y-intercept

To find the y-intercept, we substitute 0 for x and solve for y.

5x-3y=30

Substitute

x= 0

5( 0)-3y=30

▼

Solve for y

ZeroPropMult

Zero Property of Multiplication

0-3y=30

SubTerm

Subtract term

- 3y=30

DivEqn

.LHS /(-3).=.RHS /(-3).

y=-10

The y-intercept is at the point (0,-10).

Graph

Now that we know the intercepts, we can draw the graph of this equation.

This graph corresponds to option D.