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Find the x- and y-intercepts for the following equation.

-4 x + 3 y = 9

x-intercept

a =



y-intercept

b =

Verified Answer :

texaschic101

to find the x int, sub in 0 for y and solve for x
-4x + 3y = 9
-4x + 3(0) = 9
-4x = 9
x = -9/4.....so ur x int is -9/4 or (-9/4,0)

to find the y int, sub in 0 for x and solve for y
-4x + 3y = 9
-4(0) + 3y = 9
3y = 9
y = 9/3
y = 3...so ur y int is 3 or (0,3)

Esther

Answer:

x-intercept (a): \(x = -\frac{9}{4}\)

y-intercept (b): \(y =3\)

Step-by-step explanation:

-4 x + 3 y = 9

-4x + 3y = 9

-4x + 3(0) = 9

-4x + 0 = 9

-4x = 9

/-4   /-4

\(x = -\frac{9}{4}\)

-4(0) + 3y = 9

0 + 3y = 9

3y = 9

/3   /3

\(y =3\)

Hope that helps!

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