Question

The line M is parallel to the line y=-2x+2 and goes through the origin. Which of these points is on the line M? (-2,-4)(1,1)(2,-2)(-2,4)

Answer 1

(-2,4)

Step-by-step explanation:

Two lines are said to be parallel if their slopes are the same.

Comparing the line y =-2x+2 to the slope-intercept form y=mx+b, the slope of the line is -2.

Therefore, the slope of line M that is parallel to it is also - 2.

Since the line M goes through the origin, the y-intercept of line M is 0.

Therefore, the equation of line M is:

`y=-2x`

Therefore, the point which is on line M is the point that satisfies the equation above.

This point is (-2,4).

Check

`\begin{gathered} \text{When }x=-2,y=4 \\ y=-2x \\ 4=-2(-2) \\ 4=4 \end{gathered}`