The graph shows a line through the points -2,-2 and 2,0 . consider the line parallel to this line through the point 4,4 . where will the parallel line cross the y-axis (it's y-intercept) ?

The parallel line cross the y-axis at point (0,6)

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are equal

step 1

Find the slope of the line that pass through the points (-2,2) and (2,0)

The formula to calculate the slope between two points is equal to

substitute the values

step 2

Find the equation of the line parallel to the given line and pass through the point (4,4)

The equation of a line in point slope form is

we have

--> remember that in parallel lines the slopes are the same

substitute

Convert to slope intercept form

isolate the variable y

step 3

Find the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero

so

For x=0

therefore

The parallel line cross the y-axis at point (0,6)

43

step-by-step explanation: