G. To find the slope, I noticed that the equation is already in the form y=mx, where m is the slope. Therefore, the slope is 3. Plugging the slope into the equation of a line through the origin (y=mx), the equation of the line through the origin is y=3x.
H. Similarly, the slope of the equation y=6x is 6. Plugging the slope into the equation of the line through the origin, the equation of the line through the origin is y=6x.
I. To find the slope, I rearranged the equation x+y=3 to y=-x+3, which is in the form y=mx. Therefore, the slope is -1. Plugging the slope into the equation of the line through the origin, the equation of the line through the origin is y=-x.
Derive the equation of the line through
the origin.
Explain: I found the slope by ______________
__________________________ and then plugged
my slope into the equation _______________.
G. y=3x
H. y=6x
I. x+y=3
1 answer
1 answer