Which point on the x-axis lies on the line that passes through point c and is parallel to line ab? (1, 0) (0, 1) (0, 2) (2, 0)

Step 1

Find the slope of the line AB

Let

we know that

The slope between two points is equal to

substitute the values

Step 2

Find the equation of the line

we know that

If two lines are parallel, then their slopes are the same

so

The equation of the line into slope-point form is equal to

we have

point

substitute

Step 3

Find the point on the x-axis that  lies on the line

the equation of the line is

we know that

if the point lies on the x-axis

then

the y-coordinate of the point is equal to zero

so

For

find the x-value

therefore

the answer is

the point is

1.true 2.false? ? i think. .

step-by-step explanation: