Respuesta :
"They have different slopes but the same y-intercept, so they have one solution" is the statement which best describes the two lines.
Answer: Option D
Step-by-step explanation:
Given equations:
[tex]y=\left(\frac{1}{2} \times x\right)-3[/tex]
[tex]y=\left(-\frac{1}{2} \times x\right)-3[/tex]
As we know that the slope intercept form of a line is
y = m x + c
So, from equation 1 and equation 2 we can see that
[tex]m_{1}=\frac{1}{2} \quad \text { and } c_{1}=-3[/tex]
[tex]m_{2}=-\frac{1}{2} \text { and } c_{2}=-3[/tex]
So, from the above expressions, we can say that both lines have different slopes but have same y – intercept with one common solution when x = 0.
