2x + 6y = 9

a graph of this function would have an x-intercept at and a y-intercept at

x intercept (-9/2 , 0)

y intercept (0,3/2)

Step-by-step explanation:

-2x + 6y = 9

To find the y intercept let x =0 and solve for y

-2 (0) +6y = 9

6y = 9

Divide by 6

6y/6 = 9/6

y = 3/2

(0,3/2)

To find the x intercept let y =0 and solve for x

-2 x +6(0) = 9

-2x=9

Divide by -2

-2x/-2 = 9/-2

x = -9/2

(-9/2 , 0)