Write an equation in slope intercept form for the line with the given slope that contains the given point. Slope = -3; (4,0)

Answer 1

Slope Intercept Form of a straight line: y = mx + b

m is the slope

b is the y-intercept

(4,0) is the coordinate the line must go through.

For EXAMPLE, y = 2x + 1

The slope (m) is 2.

A coordinate that this line goes through is (1,3). Coordinates are in this form (x,y).

1 is the x, and 3 is the y.

To prove this....

3 = 2(1) + 1

3 = 3

To answer this question...

If the slope is -3, and it must go through (4,0)...

y = -3x + b

To solve "b", plug in the coordinates.

0 = -3(4) + b

0 = -12 + b

0 + 12 = -12 + b +12 (if you add 12 on one side, you must do the same on the other side of the = sign)

12 = b

THEREFORE...

y = -3x +12

Check your answer by plugging in the coordinates.

0 = -3(4) + 12