A linear function is shown.
(y+1)=−29(x+9)
Which equivalent equation is BEST for identifying the x
-intercept of the function? What is the x
-intercept of the function?
Responses
A y+1=−29x−2
; The x
-intercept is (1,0)
.y plus 1 is equal to negative 2 ninths x minus 2 ; The x-intercept is open paren 1 comma 0 close paren.
B y=−29x−3
; The x
-intercept is (−3,0)
. y is equal to negative 2 ninths x minus 3 ; The x-intercept is open paren negative 3 comma 0 close paren.
C 9y=−2x−27
; The x
-intercept is (−29,0)
. 9 y is equal to negative 2 x minus 27 ; The x-intercept is open paren negative 2 ninths comma 0 close paren .
D 2x+9y=−27
; The x
-intercept is (−13.5,0)
. 2 x plus 9 y is equal to negative 27 ; The x-intercept is open paren negative 13 point 5 comma 0 close paren.
To find the x-intercept of the linear function, we need to set y equal to 0.
From the given equation,
y + 1 = -29(x + 9)
Setting y = 0,
0 + 1 = -29(x + 9)
1 = -29(x + 9)
Simplifying the equation, we get:
1 = -29x - 261
To find the x-intercept, we need to solve for x when y = 0.
Therefore, the equivalent equation that BEST identifies the x-intercept of the function is:
-29x - 261 = 0
To solve for x, we can add 261 to both sides:
-29x - 261 + 261 = 0 + 261
-29x = 261
Dividing both sides by -29:
x = -261/29
The x-intercept of the function is (-9, 0)
So what is the answer by the choices?
The correct answer from the given choices is:
B. y = -29x - 3 ; The x-intercept is (-3, 0)