Respuesta :
Given equation : 4x+6y=48 .
The general form of the linear equation is ax +by =c.
The given equation is already in general form.
Let us find x-intercept.
Plugging y =0 in given equation.
4x+6(0)=48 .
4x +0 = 48
4x = 48
Dividing both sides by 4, we get
4x/4 = 48/4
x = 12.
Therefore, x-intercept is (12,0).
Let us find y-intercept.
Plugging x =0 in given equation.
4(0)+6y=48 .
6y = 48
Dividing both sides by 6, we get
6y/6 = 48/6
y = 8.
Therefore, y-intercept is (0,8).
Let us convert given equation in slope-intercept form y=mx+b.
4x+6y=48
Subtracting 4x from both sides, we get
4x-4x+6y=48-4x
6y = -4x+48
Dividing both sides by 6, we get
6y/6 = -4x/6+48/6
y = -2/3 x +8.
Therefore, slope is -2/3.
Let us find factored form now.
GCF of the given linear equation is 2.
Factoring out 2 in all term, we get
3(2x+3y=24)
That is factored form.
