Respuesta :
The x intercept is -3, and the y intercept is -2
Step-by-step explanation:
The equation given is 4x+6y= -12
Rewrite the equation in slope intercept form of y=mx +c where c is the y intercept
y=mx+c
6y=-4x-12
y= -4/6 x -12/6
y=-2/3x -2
c= -2
To get x intercept replace value of y in the equation with 0;
y= -2/3 x -2
0= -2/3 x -2
2= -2/3 x
2*3=-2x
6=-2x
6/-2 =x
-3 =x
x intercept is -3
Learn More
Linear equations : https://brainly.com/question/9994201
Keywords : graph, linear equation, intercepts, plot
#LearnwithBrainly

If you were to graph the linear equation 4x+6y=−12 on the semester test, you would need to determine the x- and y-intercepts, plot them, and connect with a line.
Write the x-intercept of the linear equation 4x+6y=−12 in the first box.
Write the y-intercept of the linear equation 4x+6y=−12 in the second box.
Answer for blank # 1: -3
Answer for blank # 2: -2