SOLUTION: The graph of which of the following equations is a straight line parallel to the graph of y=2x? a: 4x-y=4 b: 2x-2y=2 c: 2x-y=4 d: 2x+y=2 e: x-2y=4 Thank You!!

 

Hi,

In answer to Your reply: the standard slope-intercept form y = mx + b

(found by simply by expressing the linear equation in terms of y) 

is a powerful tool in graphing the Line.

1) the 'trailer'(b) tells us where the Line crosses the y-axis.(-4 for blue line)

2) the slope(m) tell us how the line slants. (m>0 slants right, m<0 slants left)

3) the value of slope m, tells us the steepness of the 'slant'

4) In this example slope m = 2 or 2/1, telling us, if we were to start at

the y-intercept point, going up 2 and over 1, gives us one more point on the line.

5) connect these points with a line and the graphing is complete.

 



straight line parallel to the graph of y=2x  Green

Lines would need to have identical slopes of  m = 2

c. 2x-y = 4 OR    Blue