From the slope, it is possible to classify the lines as parallel.
Linear Function
A line can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=2x+7. Where:
a= the slope
b=constant term that represents the y-intercept.
The lines are classified as parallel when they have the same slope. You will have perpendicular lines when one line is the negative reciprocal of the second line. If the lines intersect, none of the previous conditions presented are met.
The given equations are:
6x-2y=-2 (1)
y=3x+12 (2)
First, you should write the equation 1 in the standard form.
-2y=-6x-2
-y=-3x-1
y=3x+1
Therefore, the slope for equation 1 is m=3.
After that, you should indicate the slope for equation 2. Thus, m also is 3.
As, both equations present the same slope (m=3). The lines are parallel.
Read more about the linear equation here:
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