**m =**Change in y/Change in x = 4/(-2) =

**-2**

**-4 = b**(the y-intercept)

**y = -2x -4**

1. In the equation of a line, y=4x-3, the number -3 represents the________.

2. In the equation y=mx+b, the letter_________ represents the slope and the letter ________ represents the y- intercept.

3. Points M(2,-8) and N(0,-4) are on a line. The slope of the line is _______ and the y- intercept is _________. The equation of the line is _______.

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The slope-intercept form for the equation of a straight line is:

y = mx + b

where m is the slope and b is the y-intercept.

1. y = 4x - 3 = 4x + (-3). -3 is the y-intercept

2. y = mx + b. m is the slope, and b is the y-intercept,

3. The slope (m) of the line is the change in y over the change in x between any two points on the line. We have two points in ordered pair format (x,y): (2,-8) and (0.-4)

Change in y = -4 - (-8) = -4 + 8 = 4

Change in x = 0 - 2 = -2

So far:

y = -2x + b

To find b, plug one of the (x,y) points into the equation, say point M, (2,-8):

y = -2x + b

-8 = -2(2) + b [Plug in y=-8, x=2]

-8 = -4 + b

The equation of the line is:

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